100212983759700 has 1152 divisors, whose sum is σ = 393519479808000. Its totient is φ = 21369418444800.

The previous prime is 100212983759699. The next prime is 100212983759711. The reversal of 100212983759700 is 7957389212001.

It is a happy number.

100212983759700 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 12 + 9 + 8 + 37 + 597 + 0 + 0 = 666.

It is a super-2 number, since 2×100212983759700² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6694693816 + ... + 6694708784.

Almost surely, 2^{100212983759700} is an apocalyptic number.

100212983759700 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 100212983759700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196759739904000).

100212983759700 is an abundant number, since it is smaller than the sum of its proper divisors (293306496048300).

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

100212983759700 is a wasteful number, since it uses less digits than its factorization.

100212983759700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 100212983759700 in words is "one hundred trillion, two hundred twelve billion, nine hundred eighty-three million, seven hundred fifty-nine thousand, seven hundred".