100101012100 has 36 divisors (see below), whose sum is σ = 222517234548. Its totient is φ = 39063808000.

The previous prime is 100101012079. The next prime is 100101012133. The reversal of 100101012100 is 1210101001.

It can be written as a sum of positive squares in 6 ways, for example, as 6456443904 + 93644568196 = 80352^2 + 306014^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12203341 + ... + 12211540.

It is an arithmetic number, because the mean of its divisors is an integer number (6181034293).

Almost surely, 2^100101012100 is an apocalyptic number.

100101012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101012100 is an abundant number, since it is smaller than the sum of its proper divisors (122416222448).

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

100101012100 is a wasteful number, since it uses less digits than its factorization.

100101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24414936 (or 24414929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101012100 its reverse (1210101001), we get a palindrome (101311113101).

The spelling of 100101012100 in words is "one hundred billion, one hundred one million, twelve thousand, one hundred".