101144671407 has 40 divisors (see below), whose sum is σ = 169789782624. Its totient is φ = 59536648512.

The previous prime is 101144671393. The next prime is 101144671409. The reversal of 101144671407 is 704176441101.

101144671407 is a `hidden beast` number, since 101 + 1 + 446 + 71 + 40 + 7 = 666.

It is not a de Polignac number, because 101144671407 - 2⁷ = 101144671279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144671409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2063908 + ... + 2112345.

Almost surely, 2^101144671407 is an apocalyptic number.

101144671407 is a deficient number, since it is larger than the sum of its proper divisors (68645111217).

101144671407 is a wasteful number, since it uses less digits than its factorization.

101144671407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176301 (or 4176292 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 101144671407 in words is "one hundred one billion, one hundred forty-four million, six hundred seventy-one thousand, four hundred seven".