100212111010120 has 16 divisors (see below), whose sum is σ = 225477249772860. Its totient is φ = 40084844404032.

The previous prime is 100212111010093. The next prime is 100212111010127. The reversal of 100212111010120 is 21010111212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89603527855396 + 10608583154724 = 9465914^2 + 3257082^2 .

It is a super-2 number, since 2×100212111010120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100212111010120.

It is not an unprimeable number, because it can be changed into a prime (100212111010127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1252651387587 + ... + 1252651387666.

Almost surely, 2^{100212111010120} is an apocalyptic number.

100212111010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212111010120 is an abundant number, since it is smaller than the sum of its proper divisors (125265138762740).

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

100212111010120 is a wasteful number, since it uses less digits than its factorization.

100212111010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505302775264 (or 2505302775260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100212111010120 its reverse (21010111212001), we get a palindrome (121222222222121).

The spelling of 100212111010120 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, ten thousand, one hundred twenty".