101649615720 has 256 divisors, whose sum is σ = 332091809280. Its totient is φ = 24789811200.

The previous prime is 101649615671. The next prime is 101649615773. The reversal of 101649615720 is 27516946101.

It is a super-2 number, since 2×101649615720² (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 63 ways as a sum of consecutive naturals, for example, 21995010 + ... + 21999630.

It is an arithmetic number, because the mean of its divisors is an integer number (1297233630).

Almost surely, 2^101649615720 is an apocalyptic number.

101649615720 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 101649615720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166045904640).

101649615720 is an abundant number, since it is smaller than the sum of its proper divisors (230442193560).

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

101649615720 is a wasteful number, since it uses less digits than its factorization.

101649615720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 101649615720 in words is "one hundred one billion, six hundred forty-nine million, six hundred fifteen thousand, seven hundred twenty".