101006550601011 has 16 divisors (see below), whose sum is σ = 163242910062720. Its totient is φ = 61216091273160.

The previous prime is 101006550600979. The next prime is 101006550601039. The reversal of 101006550601011 is 110106055600101.

101006550601011 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 6 + 5 + 50 + 601 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 101006550601011 - 2⁵ = 101006550600979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101006550602011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170044697685 + ... + 170044698278.

It is an arithmetic number, because the mean of its divisors is an integer number (10202681878920).

Almost surely, 2^{101006550601011} is an apocalyptic number.

101006550601011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101006550601011 is a deficient number, since it is larger than the sum of its proper divisors (62236359461709).

101006550601011 is a wasteful number, since it uses less digits than its factorization.

101006550601011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340089395983 (or 340089395977 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 101006550601011 in words is "one hundred one trillion, six billion, five hundred fifty million, six hundred one thousand, eleven".