101020100 has 18 divisors (see below), whose sum is σ = 219213834. Its totient is φ = 40408000.

The previous prime is 101020097. The next prime is 101020111. The reversal of 101020100 is 1020101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26956864 + 74063236 = 5192^2 + 8606^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 505001 + ... + 505200.

Almost surely, 2^101020100 is an apocalyptic number.

101020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020100 is an abundant number, since it is smaller than the sum of its proper divisors (118193734).

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

101020100 is a wasteful number, since it uses less digits than its factorization.

101020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010215 (or 1010208 counting only the distinct ones).

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

The square root of 101020100 is about 10050.8755837489. The cubic root of 101020100 is about 465.7318417646.

Adding to 101020100 its reverse (1020101), we get a palindrome (102040201).

Subtracting from 101020100 its reverse (1020101), we obtain a palindrome (99999999).

The spelling of 101020100 in words is "one hundred one million, twenty thousand, one hundred".