101006677107 has 32 divisors (see below), whose sum is σ = 173181388800. Its totient is φ = 56987483904.

The previous prime is 101006677069. The next prime is 101006677129. The reversal of 101006677107 is 701776600101.

It is not a de Polignac number, because 101006677107 - 2¹⁸ = 101006414963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101006677007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367518 + ... + 3397379.

It is an arithmetic number, because the mean of its divisors is an integer number (5411918400).

Almost surely, 2^101006677107 is an apocalyptic number.

101006677107 is a deficient number, since it is larger than the sum of its proper divisors (72174711693).

101006677107 is an equidigital number, since it uses as much as digits as its factorization.

101006677107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764992 (or 6764986 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 101006677107 in words is "one hundred one billion, six million, six hundred seventy-seven thousand, one hundred seven".