102100100211112 has 16 divisors (see below), whose sum is σ = 198038987478900. Its totient is φ = 49289703550080.

The previous prime is 102100100211047. The next prime is 102100100211251. The reversal of 102100100211112 is 211112001001201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100887841958436 + 1212258252676 = 10044294^2 + 1101026^2 .

It is a super-2 number, since 2×102100100211112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100100211092 and 102100100211101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220043319189 + ... + 220043319652.

Almost surely, 2^{102100100211112} is an apocalyptic number.

It is an amenable number.

102100100211112 is a deficient number, since it is larger than the sum of its proper divisors (95938887267788).

102100100211112 is a wasteful number, since it uses less digits than its factorization.

102100100211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440086638876 (or 440086638872 counting only the distinct ones).

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

Adding to 102100100211112 its reverse (211112001001201), we get a palindrome (313212101212313).

The spelling of 102100100211112 in words is "one hundred two trillion, one hundred billion, one hundred million, two hundred eleven thousand, one hundred twelve".