101002001999967 has 6 divisors (see below), whose sum is σ = 145891780666632. Its totient is φ = 67334667999972.

The previous prime is 101002001999953. The next prime is 101002002000013. The reversal of 101002001999967 is 769999100200101.

101002001999967 is a `hidden beast` number, since 1 + 0 + 100 + 200 + 199 + 99 + 67 = 666.

It is not a de Polignac number, because 101002001999967 - 2¹⁸ = 101002001737823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002001999167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611222333323 + ... + 5611222333340.

It is an arithmetic number, because the mean of its divisors is an integer number (24315296777772).

Almost surely, 2^{101002001999967} is an apocalyptic number.

101002001999967 is a deficient number, since it is larger than the sum of its proper divisors (44889778666665).

101002001999967 is a wasteful number, since it uses less digits than its factorization.

101002001999967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222444666669 (or 11222444666666 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 54.

The spelling of 101002001999967 in words is "one hundred one trillion, two billion, one million, nine hundred ninety-nine thousand, nine hundred sixty-seven".