101100000 has 144 divisors (see below), whose sum is σ = 332697456. Its totient is φ = 26880000.

The previous prime is 101099951. The next prime is 101100011. The reversal of 101100000 is 1101.

101100000 = T₁₇₅ + T₁₇₆ + ... + T₈₄₈.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299832 + ... + 300168.

It is an arithmetic number, because the mean of its divisors is an integer number (2310399).

Almost surely, 2^101100000 is an apocalyptic number.

101100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728).

101100000 is an abundant number, since it is smaller than the sum of its proper divisors (231597456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100000 is an frugal number, since it uses more digits than its factorization.

101100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 101100000 is about 10054.8495761995. The cubic root of 101100000 is about 465.8545967667.

Adding to 101100000 its reverse (1101), we get a palindrome (101101101).

The spelling of 101100000 in words is "one hundred one million, one hundred thousand".