100201120012000 has 192 divisors, whose sum is σ = 286133643694080. Its totient is φ = 33772386624000.

The previous prime is 100201120011991. The next prime is 100201120012001. The reversal of 100201120012000 is 210021102001.

It is a super-3 number, since 3×100201120012000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201120012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28675216 + ... + 31979215.

It is an arithmetic number, because the mean of its divisors is an integer number (1490279394240).

Almost surely, 2^{100201120012000} is an apocalyptic number.

100201120012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201120012000 is an abundant number, since it is smaller than the sum of its proper divisors (185932523682080).

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

100201120012000 is an equidigital number, since it uses as much as digits as its factorization.

100201120012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60654522 (or 60654504 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100201120012000 its reverse (210021102001), we get a palindrome (100411141114001).

The spelling of 100201120012000 in words is "one hundred trillion, two hundred one billion, one hundred twenty million, twelve thousand".