101167970520 has 256 divisors, whose sum is σ = 319516692480. Its totient is φ = 25592371200.

The previous prime is 101167970509. The next prime is 101167970597. The reversal of 101167970520 is 25079761101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90086679 + ... + 90087801.

It is an arithmetic number, because the mean of its divisors is an integer number (1248112080).

Almost surely, 2^101167970520 is an apocalyptic number.

101167970520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101167970520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159758346240).

101167970520 is an abundant number, since it is smaller than the sum of its proper divisors (218348721960).

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

101167970520 is a wasteful number, since it uses less digits than its factorization.

101167970520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The spelling of 101167970520 in words is "one hundred one billion, one hundred sixty-seven million, nine hundred seventy thousand, five hundred twenty".