101820057008 has 40 divisors (see below), whose sum is σ = 203670297600. Its totient is φ = 49260467520.

The previous prime is 101820056959. The next prime is 101820057013. The reversal of 101820057008 is 800750028101.

It is a happy number.

It is a super-2 number, since 2×101820057008² (a number of 23 digits) contains 22 as substring.

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, 4998941 + ... + 5019267.

It is an arithmetic number, because the mean of its divisors is an integer number (5091757440).

Almost surely, 2^101820057008 is an apocalyptic number.

It is an amenable number.

101820057008 is an abundant number, since it is smaller than the sum of its proper divisors (101850240592).

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

101820057008 is a wasteful number, since it uses less digits than its factorization.

101820057008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30465 (or 30459 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 101820057008 in words is "one hundred one billion, eight hundred twenty million, fifty-seven thousand, eight".