100120111102212 has 48 divisors (see below), whose sum is σ = 234370312036224. Its totient is φ = 33265272672000.

The previous prime is 100120111102183. The next prime is 100120111102267. The reversal of 100120111102212 is 212201111021001.

It is a happy number.

It is a super-2 number, since 2×100120111102212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120111102191 and 100120111102200.

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, 169440162 + ... + 170030022.

It is an arithmetic number, because the mean of its divisors is an integer number (4882714834088).

Almost surely, 2^{100120111102212} is an apocalyptic number.

100120111102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120111102212 is an abundant number, since it is smaller than the sum of its proper divisors (134250200934012).

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

100120111102212 is a wasteful number, since it uses less digits than its factorization.

100120111102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635660 (or 635658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100120111102212 its reverse (212201111021001), we get a palindrome (312321222123213).

The spelling of 100120111102212 in words is "one hundred trillion, one hundred twenty billion, one hundred eleven million, one hundred two thousand, two hundred twelve".