100111221002100 has 432 divisors, whose sum is σ = 383558831663616. Its totient is φ = 19897881696000.

The previous prime is 100111221002099. The next prime is 100111221002101. The reversal of 100111221002100 is 1200122111001.

It is an interprime number because it is at equal distance from previous prime (100111221002099) and next prime (100111221002101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111221002101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9739966 + ... + 17178165.

It is an arithmetic number, because the mean of its divisors is an integer number (887867665888).

Almost surely, 2^{100111221002100} is an apocalyptic number.

100111221002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111221002100 is an abundant number, since it is smaller than the sum of its proper divisors (283447610661516).

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

100111221002100 is a wasteful number, since it uses less digits than its factorization.

100111221002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26918196 (or 26918182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111221002100 its reverse (1200122111001), we get a palindrome (101311343113101).

The spelling of 100111221002100 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-one million, two thousand, one hundred".