100212101022112 has 24 divisors (see below), whose sum is σ = 197302189359492. Its totient is φ = 50103608486400.

The previous prime is 100212101022067. The next prime is 100212101022247. The reversal of 100212101022112 is 211220101212001.

It can be written as a sum of positive squares in 2 ways, for example, as 81840899187216 + 18371201834896 = 9046596^2 + 4286164^2 .

It is a super-2 number, since 2×100212101022112² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75646339 + ... + 76959682.

Almost surely, 2^{100212101022112} is an apocalyptic number.

It is an amenable number.

100212101022112 is a deficient number, since it is larger than the sum of its proper divisors (97090088337380).

100212101022112 is a wasteful number, since it uses less digits than its factorization.

100212101022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152626552 (or 152626544 counting only the distinct ones).

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

Adding to 100212101022112 its reverse (211220101212001), we get a palindrome (311432202234113).

The spelling of 100212101022112 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, twenty-two thousand, one hundred twelve".