101462662116225 has 30 divisors (see below), whose sum is σ = 187943923755830. Its totient is φ = 54113419794240.

The previous prime is 101462662116181. The next prime is 101462662116271. The reversal of 101462662116225 is 522611266264101.

101462662116225 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 2 + 6 + 6 + 2 + 11 + 622 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3537989361 + 101459124126864 = 59481^2 + 10072692^2 .

It is not a de Polignac number, because 101462662116225 - 2¹² = 101462662112129 is a prime.

It is a super-2 number, since 2×101462662116225² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25052507140 + ... + 25052511189.

Almost surely, 2^{101462662116225} is an apocalyptic number.

101462662116225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101462662116225 is a deficient number, since it is larger than the sum of its proper divisors (86481261639605).

101462662116225 is an equidigital number, since it uses as much as digits as its factorization.

101462662116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50105018351 (or 50105018337 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 101462662116225 in words is "one hundred one trillion, four hundred sixty-two billion, six hundred sixty-two million, one hundred sixteen thousand, two hundred twenty-five".