100111001211100 has 72 divisors (see below), whose sum is σ = 236991743307648. Its totient is φ = 36403739236800.

The previous prime is 100111001211031. The next prime is 100111001211103. The reversal of 100111001211100 is 1112100111001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001211103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221559607 + ... + 222010993.

It is an arithmetic number, because the mean of its divisors is an integer number (3291551990384).

Almost surely, 2^{100111001211100} is an apocalyptic number.

100111001211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111001211100 is an abundant number, since it is smaller than the sum of its proper divisors (136880742096548).

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

100111001211100 is a wasteful number, since it uses less digits than its factorization.

100111001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653035 (or 653028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111001211100 its reverse (1112100111001), we get a palindrome (101223101322101).

The spelling of 100111001211100 in words is "one hundred trillion, one hundred eleven billion, one million, two hundred eleven thousand, one hundred".