100202011122112 has 112 divisors (see below), whose sum is σ = 202246868921760. Its totient is φ = 49246959992832.

The previous prime is 100202011122107. The next prime is 100202011122151. The reversal of 100202011122112 is 211221110202001.

100202011122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4060530318 + ... + 4060554994.

Almost surely, 2^{100202011122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202011122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101123434460880).

100202011122112 is an abundant number, since it is smaller than the sum of its proper divisors (102044857799648).

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

100202011122112 is a wasteful number, since it uses less digits than its factorization.

100202011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27678 (or 27668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100202011122112 its reverse (211221110202001), we get a palindrome (311423121324113).

The spelling of 100202011122112 in words is "one hundred trillion, two hundred two billion, eleven million, one hundred twenty-two thousand, one hundred twelve".