101462811390009 has 24 divisors (see below), whose sum is σ = 148324177415232. Its totient is φ = 66826447202400.

The previous prime is 101462811390007. The next prime is 101462811390011. The reversal of 101462811390009 is 900093118264101.

101462811390009 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 628 + 1 + 13 + 9 + 0 + 0 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (101462811390007) and next prime (101462811390011).

It is not a de Polignac number, because 101462811390009 - 2¹ = 101462811390007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101462811390001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 131798599 + ... + 132566195.

It is an arithmetic number, because the mean of its divisors is an integer number (6180174058968).

Almost surely, 2^{101462811390009} is an apocalyptic number.

It is an amenable number.

101462811390009 is a deficient number, since it is larger than the sum of its proper divisors (46861366025223).

101462811390009 is a wasteful number, since it uses less digits than its factorization.

101462811390009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944637 (or 944634 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 101462811390009 in words is "one hundred one trillion, four hundred sixty-two billion, eight hundred eleven million, three hundred ninety thousand, nine".