101106202404966 has 64 divisors (see below), whose sum is σ = 220866339548160. Its totient is φ = 30600610428960.

The previous prime is 101106202404923. The next prime is 101106202404971. The reversal of 101106202404966 is 669404202601101.

It is a super-2 number, since 2×101106202404966² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053723405 + ... + 1053819351.

It is an arithmetic number, because the mean of its divisors is an integer number (3451036555440).

Almost surely, 2^{101106202404966} is an apocalyptic number.

101106202404966 is an abundant number, since it is smaller than the sum of its proper divisors (119760137143194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101106202404966 is a wasteful number, since it uses less digits than its factorization.

101106202404966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115409.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 101106202404966 in words is "one hundred one trillion, one hundred six billion, two hundred two million, four hundred four thousand, nine hundred sixty-six".