101102000 has 40 divisors (see below), whose sum is σ = 244469472. Its totient is φ = 40440000.

The previous prime is 101101999. The next prime is 101102003. The reversal of 101102000 is 201101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101102000² = 20443228808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (101102003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23276 + ... + 27275.

Almost surely, 2^101102000 is an apocalyptic number.

101102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102000 is an abundant number, since it is smaller than the sum of its proper divisors (143367472).

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

101102000 is an equidigital number, since it uses as much as digits as its factorization.

101102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50574 (or 50558 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101102000 is about 10054.9490302040. The cubic root of 101102000 is about 465.8576686528.

Adding to 101102000 its reverse (201101), we get a palindrome (101303101).

The spelling of 101102000 in words is "one hundred one million, one hundred two thousand".