100121111312 has 20 divisors (see below), whose sum is σ = 205395515676. Its totient is φ = 47115816960.

The previous prime is 100121111303. The next prime is 100121111333. The reversal of 100121111312 is 213111121001.

It can be written as a sum of positive squares in 2 ways, for example, as 36033150976 + 64087960336 = 189824^2 + 253156^2 .

It is a super-2 number, since 2×100121111312² (a number of 23 digits) contains 22 as substring.

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, 184045889 + ... + 184046432.

Almost surely, 2^100121111312 is an apocalyptic number.

It is an amenable number.

100121111312 is an abundant number, since it is smaller than the sum of its proper divisors (105274404364).

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

100121111312 is a wasteful number, since it uses less digits than its factorization.

100121111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368092346 (or 368092340 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100121111312 its reverse (213111121001), we get a palindrome (313232232313).

The spelling of 100121111312 in words is "one hundred billion, one hundred twenty-one million, one hundred eleven thousand, three hundred twelve".