101961296640 has 720 divisors, whose sum is σ = 428337467712. Its totient is φ = 22669590528.

The previous prime is 101961296621. The next prime is 101961296653. The reversal of 101961296640 is 46692169101.

It is a happy number.

101961296640 is a `hidden beast` number, since 10 + 19 + 612 + 9 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×101961296640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26851222 + ... + 26855018.

Almost surely, 2^101961296640 is an apocalyptic number.

101961296640 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 101961296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214168733856).

101961296640 is an abundant number, since it is smaller than the sum of its proper divisors (326376171072).

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

101961296640 is an equidigital number, since it uses as much as digits as its factorization.

101961296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 101961296640 in words is "one hundred one billion, nine hundred sixty-one million, two hundred ninety-six thousand, six hundred forty".