101735339712 has 224 divisors, whose sum is σ = 291468779520. Its totient is φ = 31248322560.

The previous prime is 101735339701. The next prime is 101735339723. The reversal of 101735339712 is 217933537101.

It is an interprime number because it is at equal distance from previous prime (101735339701) and next prime (101735339723).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10345614 + ... + 10355442.

Almost surely, 2^101735339712 is an apocalyptic number.

101735339712 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 101735339712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145734389760).

101735339712 is an abundant number, since it is smaller than the sum of its proper divisors (189733439808).

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

101735339712 is a wasteful number, since it uses less digits than its factorization.

101735339712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The spelling of 101735339712 in words is "one hundred one billion, seven hundred thirty-five million, three hundred thirty-nine thousand, seven hundred twelve".