100111000101102 has 48 divisors (see below), whose sum is σ = 218601046881360. Its totient is φ = 33109825257600.

The previous prime is 100111000101089. The next prime is 100111000101143. The reversal of 100111000101102 is 201101000111001.

It is a super-2 number, since 2×100111000101102² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 9839674 + ... + 17234882.

It is an arithmetic number, because the mean of its divisors is an integer number (4554188476695).

Almost surely, 2^{100111000101102} is an apocalyptic number.

100111000101102 is an abundant number, since it is smaller than the sum of its proper divisors (118490046780258).

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

100111000101102 is a wasteful number, since it uses less digits than its factorization.

100111000101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401089 (or 7401086 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111000101102 its reverse (201101000111001), we get a palindrome (301212000212103).

The spelling of 100111000101102 in words is "one hundred trillion, one hundred eleven billion, one hundred one thousand, one hundred two".