100897299078912 has 1728 divisors, whose sum is σ = 380818816035840. Its totient is φ = 24996269260800.

The previous prime is 100897299078869. The next prime is 100897299078913. The reversal of 100897299078912 is 219870992798001.

100897299078912 is a `hidden beast` number, since 100 + 89 + 7 + 299 + 0 + 78 + 91 + 2 = 666.

It is a super-2 number, since 2×100897299078912² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100897299078913) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92481483487 + ... + 92481484577.

It is an arithmetic number, because the mean of its divisors is an integer number (220381259280).

Almost surely, 2^{100897299078912} is an apocalyptic number.

100897299078912 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 100897299078912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190409408017920).

100897299078912 is an abundant number, since it is smaller than the sum of its proper divisors (279921516956928).

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

100897299078912 is a wasteful number, since it uses less digits than its factorization.

100897299078912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 100897299078912 in words is "one hundred trillion, eight hundred ninety-seven billion, two hundred ninety-nine million, seventy-eight thousand, nine hundred twelve".