101701297152 has 264 divisors, whose sum is σ = 361431027776. Its totient is φ = 26822098944.

The previous prime is 101701297133. The next prime is 101701297219. The reversal of 101701297152 is 251792107101.

It is a super-2 number, since 2×101701297152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778023 + ... + 899289.

Almost surely, 2^101701297152 is an apocalyptic number.

101701297152 is a gapful number since it is divisible by the number (12) 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 101701297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180715513888).

101701297152 is an abundant number, since it is smaller than the sum of its proper divisors (259729730624).

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

101701297152 is a wasteful number, since it uses less digits than its factorization.

101701297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121313 (or 121292 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 101701297152 in words is "one hundred one billion, seven hundred one million, two hundred ninety-seven thousand, one hundred fifty-two".