101122152703872 has 128 divisors (see below), whose sum is σ = 269395379552160. Its totient is φ = 33608309932032.

The previous prime is 101122152703777. The next prime is 101122152703933. The reversal of 101122152703872 is 278307251221101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471111488 + ... + 1471180224.

Almost surely, 2^{101122152703872} is an apocalyptic number.

101122152703872 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 101122152703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134697689776080).

101122152703872 is an abundant number, since it is smaller than the sum of its proper divisors (168273226848288).

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

101122152703872 is a wasteful number, since it uses less digits than its factorization.

101122152703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79960 (or 79948 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 101122152703872 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred fifty-two million, seven hundred three thousand, eight hundred seventy-two".