100201102022000 has 80 divisors (see below), whose sum is σ = 276898588254912. Its totient is φ = 34354663545600.

The previous prime is 100201102021997. The next prime is 100201102022009. The reversal of 100201102022000 is 220201102001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201102022009) 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 15 ways as a sum of consecutive naturals, for example, 3578596787 + ... + 3578624786.

Almost surely, 2^{100201102022000} is an apocalyptic number.

100201102022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201102022000 is an abundant number, since it is smaller than the sum of its proper divisors (176697486232912).

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

100201102022000 is an equidigital number, since it uses as much as digits as its factorization.

100201102022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157221603 (or 7157221587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201102022000 its reverse (220201102001), we get a palindrome (100421303124001).

The spelling of 100201102022000 in words is "one hundred trillion, two hundred one billion, one hundred two million, twenty-two thousand".