1012211100112 has 80 divisors (see below), whose sum is σ = 2025128754000. Its totient is φ = 489923665920.

The previous prime is 1012211100077. The next prime is 1012211100139. The reversal of 1012211100112 is 2110011122101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 107285071936 + 904926028176 = 327544^2 + 951276^2 .

It is a super-2 number, since 2×1012211100112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012211100092 and 1012211100101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15819288 + ... + 15883144.

It is an arithmetic number, because the mean of its divisors is an integer number (25314109425).

Almost surely, 2^{1012211100112} is an apocalyptic number.

It is an amenable number.

1012211100112 is an abundant number, since it is smaller than the sum of its proper divisors (1012917653888).

1012211100112 is a wasteful number, since it uses less digits than its factorization.

1012211100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64184 (or 64178 counting only the distinct ones).

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

Adding to 1012211100112 its reverse (2110011122101), we get a palindrome (3122222222213).

The spelling of 1012211100112 in words is "one trillion, twelve billion, two hundred eleven million, one hundred thousand, one hundred twelve".