20101021100100 has 108 divisors (see below), whose sum is σ = 63945915209904. Its totient is φ = 5280268213440.

The previous prime is 20101021100093. The next prime is 20101021100123. The reversal of 20101021100100 is 100112010102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166614834 + ... + 166735433.

Almost surely, 2^{20101021100100} is an apocalyptic number.

20101021100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101021100100 is an abundant number, since it is smaller than the sum of its proper divisors (43844894109804).

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

20101021100100 is a wasteful number, since it uses less digits than its factorization.

20101021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333350354 (or 333350344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101021100100 its reverse (100112010102), we get a palindrome (20201133110202).

The spelling of 20101021100100 in words is "twenty trillion, one hundred one billion, twenty-one million, one hundred thousand, one hundred".