100121022200001 has 64 divisors (see below), whose sum is σ = 150716554166016. Its totient is φ = 58586996736000.

The previous prime is 100121022199967. The next prime is 100121022200041. The reversal of 100121022200001 is 100002220121001.

It is not a de Polignac number, because 100121022200001 - 2⁶ = 100121022199937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100121022200001.

It is not an unprimeable number, because it can be changed into a prime (100121022200041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93967095 + ... + 95026611.

It is an arithmetic number, because the mean of its divisors is an integer number (2354946158844).

Almost surely, 2^{100121022200001} is an apocalyptic number.

100121022200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121022200001 is a deficient number, since it is larger than the sum of its proper divisors (50595531966015).

100121022200001 is a wasteful number, since it uses less digits than its factorization.

100121022200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060162.

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

Adding to 100121022200001 its reverse (100002220121001), we get a palindrome (200123242321002).

The spelling of 100121022200001 in words is "one hundred trillion, one hundred twenty-one billion, twenty-two million, two hundred thousand, one".