100101606049989 has 24 divisors (see below), whose sum is σ = 147346032082392. Its totient is φ = 65463403299840.

The previous prime is 100101606049933. The next prime is 100101606050027. The reversal of 100101606049989 is 989940606101001.

100101606049989 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 16 + 0 + 60 + 499 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11581545629889 + 88520060420100 = 3403167^2 + 9408510^2 .

It is not a de Polignac number, because 100101606049989 - 2⁹ = 100101606049477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101606049909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16371792 + ... + 21638825.

It is an arithmetic number, because the mean of its divisors is an integer number (6139418003433).

Almost surely, 2^{100101606049989} is an apocalyptic number.

It is an amenable number.

100101606049989 is a deficient number, since it is larger than the sum of its proper divisors (47244426032403).

100101606049989 is a wasteful number, since it uses less digits than its factorization.

100101606049989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38016197 (or 38016194 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 100101606049989 in words is "one hundred trillion, one hundred one billion, six hundred six million, forty-nine thousand, nine hundred eighty-nine".