100986969689001 has 36 divisors (see below), whose sum is σ = 160443485202000. Its totient is φ = 61163393029200.

The previous prime is 100986969688963. The next prime is 100986969689069.

100986969689001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100986969689001 - 2⁴³ = 92190876666793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100986969639001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29299435 + ... + 32564256.

Almost surely, 2^{100986969689001} is an apocalyptic number.

100986969689001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100986969689001 is a deficient number, since it is larger than the sum of its proper divisors (59456515512999).

100986969689001 is a wasteful number, since it uses less digits than its factorization.

100986969689001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61865218 (or 61865204 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 72.

The spelling of 100986969689001 in words is "one hundred trillion, nine hundred eighty-six billion, nine hundred sixty-nine million, six hundred eighty-nine thousand, one".