100201012000122 has 32 divisors (see below), whose sum is σ = 219239711087040. Its totient is φ = 30277926187520.

The previous prime is 100201012000079. The next prime is 100201012000123. The reversal of 100201012000122 is 221000210102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201012000098 and 100201012000107.

It is not an unprimeable number, because it can be changed into a prime (100201012000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150397597 + ... + 2150444192.

It is an arithmetic number, because the mean of its divisors is an integer number (6851240971470).

Almost surely, 2^{100201012000122} is an apocalyptic number.

100201012000122 is an abundant number, since it is smaller than the sum of its proper divisors (119038699086918).

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

100201012000122 is a wasteful number, since it uses less digits than its factorization.

100201012000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300842158.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201012000122 its reverse (221000210102001), we get a palindrome (321201222102123).

The spelling of 100201012000122 in words is "one hundred trillion, two hundred one billion, twelve million, one hundred twenty-two", and thus it is an aban number.