100210020022112 has 192 divisors, whose sum is σ = 264985967490048. Its totient is φ = 36026622720000.

The previous prime is 100210020022081. The next prime is 100210020022139. The reversal of 100210020022112 is 211220020012001.

It is a super-2 number, since 2×100210020022112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88840862 + ... + 89961762.

It is an arithmetic number, because the mean of its divisors is an integer number (1380135247344).

Almost surely, 2^{100210020022112} 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 100210020022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132492983745024).

100210020022112 is an abundant number, since it is smaller than the sum of its proper divisors (164775947467936).

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

100210020022112 is a wasteful number, since it uses less digits than its factorization.

100210020022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123733 (or 1123725 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100210020022112 its reverse (211220020012001), we get a palindrome (311430040034113).

The spelling of 100210020022112 in words is "one hundred trillion, two hundred ten billion, twenty million, twenty-two thousand, one hundred twelve".