100070665992000 has 1344 divisors, whose sum is σ = 396998054668800. Its totient is φ = 23859892224000.

The previous prime is 100070665991939. The next prime is 100070665992007. The reversal of 100070665992000 is 299566070001.

It is a happy number.

It is a super-3 number, since 3×100070665992000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100070665992007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12154819884 + ... + 12154828116.

Almost surely, 2^{100070665992000} is an apocalyptic number.

100070665992000 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 100070665992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198499027334400).

100070665992000 is an abundant number, since it is smaller than the sum of its proper divisors (296927388676800).

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

100070665992000 is a wasteful number, since it uses less digits than its factorization.

100070665992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 100070665992000 in words is "one hundred trillion, seventy billion, six hundred sixty-five million, nine hundred ninety-two thousand".