100101121111100 has 36 divisors (see below), whose sum is σ = 217453253715600. Its totient is φ = 39997347816960.

The previous prime is 100101121111073. The next prime is 100101121111157. The reversal of 100101121111100 is 1111121101001.

It is a happy number.

It is a super-2 number, since 2×100101121111100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 538664480 + ... + 538850279.

Almost surely, 2^{100101121111100} is an apocalyptic number.

100101121111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101121111100 is an abundant number, since it is smaller than the sum of its proper divisors (117352132604500).

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

100101121111100 is a wasteful number, since it uses less digits than its factorization.

100101121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077515702 (or 1077515695 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100101121111100 its reverse (1111121101001), we get a palindrome (101212242212101).

The spelling of 100101121111100 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".