101210010010112 has 40 divisors (see below), whose sum is σ = 202223272386300. Its totient is φ = 50604772737024.

The previous prime is 101210010010079. The next prime is 101210010010139. The reversal of 101210010010112 is 211010010012101.

It can be written as a sum of positive squares in 2 ways, for example, as 87059051335936 + 14150958674176 = 9330544^2 + 3761776^2 .

It is a super-2 number, since 2×101210010010112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210010010093 and 101210010010102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185854964 + ... + 186398732.

Almost surely, 2^{101210010010112} is an apocalyptic number.

It is an amenable number.

101210010010112 is a deficient number, since it is larger than the sum of its proper divisors (101013262376188).

101210010010112 is an frugal number, since it uses more digits than its factorization.

101210010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907316 (or 907300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101210010010112 its reverse (211010010012101), we get a palindrome (312220020022213).

The spelling of 101210010010112 in words is "one hundred one trillion, two hundred ten billion, ten million, ten thousand, one hundred twelve".