101267979966192 has 480 divisors, whose sum is σ = 298890194088960. Its totient is φ = 29473335091200.

The previous prime is 101267979966157. The next prime is 101267979966217. The reversal of 101267979966192 is 291669979762101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17958496909 + ... + 17958502547.

It is an arithmetic number, because the mean of its divisors is an integer number (622687904352).

Almost surely, 2^{101267979966192} is an apocalyptic number.

101267979966192 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 101267979966192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149445097044480).

101267979966192 is an abundant number, since it is smaller than the sum of its proper divisors (197622214122768).

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

101267979966192 is a wasteful number, since it uses less digits than its factorization.

101267979966192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 75.

The spelling of 101267979966192 in words is "one hundred one trillion, two hundred sixty-seven billion, nine hundred seventy-nine million, nine hundred sixty-six thousand, one hundred ninety-two".