10101100100100 has 72 divisors (see below), whose sum is σ = 29228193525888. Its totient is φ = 2693410665600.

The previous prime is 10101100100081. The next prime is 10101100100131. The reversal of 10101100100100 is 100100110101.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2414190 + ... + 5102010.

It is an arithmetic number, because the mean of its divisors is an integer number (405947132304).

Almost surely, 2^{10101100100100} is an apocalyptic number.

10101100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101100100100 is an abundant number, since it is smaller than the sum of its proper divisors (19127093425788).

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

10101100100100 is a wasteful number, since it uses less digits than its factorization.

10101100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700365 (or 2700358 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101100100100 its reverse (100100110101), we get a palindrome (10201200210201).

The spelling of 10101100100100 in words is "ten trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred".