100101000000100 has 36 divisors (see below), whose sum is σ = 236966367275568. Its totient is φ = 36400363636000.

The previous prime is 100101000000091. The next prime is 100101000000143. The reversal of 100101000000100 is 1000000101001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 100101000000100.

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, 45500453446 + ... + 45500455645.

It is an arithmetic number, because the mean of its divisors is an integer number (6582399090988).

Almost surely, 2^{100101000000100} is an apocalyptic number.

100101000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101000000100 is an abundant number, since it is smaller than the sum of its proper divisors (136865367275468).

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

100101000000100 is a wasteful number, since it uses less digits than its factorization.

100101000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91000909116 (or 91000909109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100101000000100 its reverse (1000000101001), we get a palindrome (101101000101101).

The spelling of 100101000000100 in words is "one hundred trillion, one hundred one billion, one hundred", and thus it is an aban number.