101051001165516 has 48 divisors (see below), whose sum is σ = 250468624619136. Its totient is φ = 31599010116864.

The previous prime is 101051001165509. The next prime is 101051001165523. The reversal of 101051001165516 is 615561100150101.

It is an interprime number because it is at equal distance from previous prime (101051001165509) and next prime (101051001165523).

It is a super-2 number, since 2×101051001165516² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806693146 + ... + 806818401.

It is an arithmetic number, because the mean of its divisors is an integer number (5218096346232).

Almost surely, 2^{101051001165516} is an apocalyptic number.

It is an amenable number.

101051001165516 is an abundant number, since it is smaller than the sum of its proper divisors (149417623453620).

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

101051001165516 is a wasteful number, since it uses less digits than its factorization.

101051001165516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613511878 (or 1613511876 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 33.

The spelling of 101051001165516 in words is "one hundred one trillion, fifty-one billion, one million, one hundred sixty-five thousand, five hundred sixteen".