100110020122112 has 640 divisors, whose sum is σ = 271774433323008. Its totient is φ = 35575883366400.

The previous prime is 100110020122109. The next prime is 100110020122169. The reversal of 100110020122112 is 211221020011001.

It is a super-2 number, since 2×100110020122112² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14806980812 + ... + 14806987572.

Almost surely, 2^{100110020122112} 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 100110020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135887216661504).

100110020122112 is an abundant number, since it is smaller than the sum of its proper divisors (171664413200896).

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

100110020122112 is a wasteful number, since it uses less digits than its factorization.

100110020122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100110020122112 its reverse (211221020011001), we get a palindrome (311331040133113).

The spelling of 100110020122112 in words is "one hundred trillion, one hundred ten billion, twenty million, one hundred twenty-two thousand, one hundred twelve".