101137853161667 has 16 divisors (see below), whose sum is σ = 116963443860480. Its totient is φ = 85657904046528.

The previous prime is 101137853161663. The next prime is 101137853161687. The reversal of 101137853161667 is 766161358731101.

It is a cyclic number.

It is not a de Polignac number, because 101137853161667 - 2² = 101137853161663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101137853161661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53660033 + ... + 55512834.

It is an arithmetic number, because the mean of its divisors is an integer number (7310215241280).

Almost surely, 2^{101137853161667} is an apocalyptic number.

101137853161667 is a deficient number, since it is larger than the sum of its proper divisors (15825590698813).

101137853161667 is a wasteful number, since it uses less digits than its factorization.

101137853161667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109174450.

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 101137853161667 in words is "one hundred one trillion, one hundred thirty-seven billion, eight hundred fifty-three million, one hundred sixty-one thousand, six hundred sixty-seven".