100121222000112 has 40 divisors (see below), whose sum is σ = 265636935851856. Its totient is φ = 32471747675136.

The previous prime is 100121222000089. The next prime is 100121222000153. The reversal of 100121222000112 is 211000222121001.

It is a super-2 number, since 2×100121222000112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121222000091 and 100121222000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28187279193 + ... + 28187282744.

Almost surely, 2^{100121222000112} is an apocalyptic number.

100121222000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121222000112 is an abundant number, since it is smaller than the sum of its proper divisors (165515713851744).

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

100121222000112 is a wasteful number, since it uses less digits than its factorization.

100121222000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56374561985 (or 56374561979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121222000112 its reverse (211000222121001), we get a palindrome (311121444121113).

The spelling of 100121222000112 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twelve", and thus it is an aban number.