100121211010112 has 28 divisors (see below), whose sum is σ = 200645137300236. Its totient is φ = 49564955942400.

The previous prime is 100121211010103. The next prime is 100121211010141. The reversal of 100121211010112 is 211010112121001.

It can be written as a sum of positive squares in 2 ways, for example, as 64341959566336 + 35779251443776 = 8021344^2 + 5981576^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7744517903 + ... + 7744530830.

Almost surely, 2^{100121211010112} is an apocalyptic number.

It is an amenable number.

100121211010112 is an abundant number, since it is smaller than the sum of its proper divisors (100523926290124).

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

100121211010112 is a wasteful number, since it uses less digits than its factorization.

100121211010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489048846 (or 15489048836 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100121211010112 its reverse (211010112121001), we get a palindrome (311131323131113).

The spelling of 100121211010112 in words is "one hundred trillion, one hundred twenty-one billion, two hundred eleven million, ten thousand, one hundred twelve".