100200091102000 has 240 divisors, whose sum is σ = 257573023744608. Its totient is φ = 37693241241600.

The previous prime is 100200091101961. The next prime is 100200091102003. The reversal of 100200091102000 is 201190002001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100200091102003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755379682 + ... + 755512318.

Almost surely, 2^{100200091102000} is an apocalyptic number.

100200091102000 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 100200091102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786511872304).

100200091102000 is an abundant number, since it is smaller than the sum of its proper divisors (157372932642608).

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

100200091102000 is a wasteful number, since it uses less digits than its factorization.

100200091102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134001 (or 133968 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 100200091102000 in words is "one hundred trillion, two hundred billion, ninety-one million, one hundred two thousand".