101279975387136 has 2496 divisors, whose sum is σ = 372304681620480. Its totient is φ = 23808127795200.

The previous prime is 101279975387117. The next prime is 101279975387141. The reversal of 101279975387136 is 631783579972101.

It is a tau number, because it is divible by the number of its divisors (2496).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 946541825995 + ... + 946541826101.

Almost surely, 2^{101279975387136} is an apocalyptic number.

101279975387136 is a gapful number since it is divisible by the number (16) 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 101279975387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186152340810240).

101279975387136 is an abundant number, since it is smaller than the sum of its proper divisors (271024706233344).

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

101279975387136 is a wasteful number, since it uses less digits than its factorization.

101279975387136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 69.

The spelling of 101279975387136 in words is "one hundred one trillion, two hundred seventy-nine billion, nine hundred seventy-five million, three hundred eighty-seven thousand, one hundred thirty-six".