101022100 has 36 divisors (see below), whose sum is σ = 222825148. Its totient is φ = 39744000.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022100 is 1220101.

It can be written as a sum of positive squares in 6 ways, for example, as 45131524 + 55890576 = 6718^2 + 7476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2181 + ... + 14380.

Almost surely, 2^101022100 is an apocalyptic number.

101022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022100 is an abundant number, since it is smaller than the sum of its proper divisors (121803048).

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

101022100 is a wasteful number, since it uses less digits than its factorization.

101022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16636 (or 16629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101022100 is about 10050.9750770759. The cubic root of 101022100 is about 465.7349152703.

Adding to 101022100 its reverse (1220101), we get a palindrome (102242201).

The spelling of 101022100 in words is "one hundred one million, twenty-two thousand, one hundred".