101009046904842 has 16 divisors (see below), whose sum is σ = 206945364390912. Its totient is φ = 32848470538080.

The previous prime is 101009046904789. The next prime is 101009046904903. The reversal of 101009046904842 is 248409640900101.

It is a super-3 number, since 3×101009046904842³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101009046904791 and 101009046904800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205302940618 + ... + 205302941109.

It is an arithmetic number, because the mean of its divisors is an integer number (12934085274432).

Almost surely, 2^{101009046904842} is an apocalyptic number.

101009046904842 is an abundant number, since it is smaller than the sum of its proper divisors (105936317486070).

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

101009046904842 is a wasteful number, since it uses less digits than its factorization.

101009046904842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410605881773.

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 101009046904842 in words is "one hundred one trillion, nine billion, forty-six million, nine hundred four thousand, eight hundred forty-two".