100022757120000 has 3840 divisors, whose sum is σ = 447546709209600. Its totient is φ = 21737963520000.

The previous prime is 100022757119993. The next prime is 100022757120173. The reversal of 100022757120000 is 21757220001.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 182856959727 + ... + 182856960273.

It is an arithmetic number, because the mean of its divisors is an integer number (116548622190).

Almost surely, 2^{100022757120000} is an apocalyptic number.

100022757120000 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 100022757120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223773354604800).

100022757120000 is an abundant number, since it is smaller than the sum of its proper divisors (347523952089600).

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

100022757120000 is a wasteful number, since it uses less digits than its factorization.

100022757120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 100022757120000 in words is "one hundred trillion, twenty-two billion, seven hundred fifty-seven million, one hundred twenty thousand".