100202122100201 has 32 divisors (see below), whose sum is σ = 112904588510208. Its totient is φ = 88138416219840.

The previous prime is 100202122100161. The next prime is 100202122100219. The reversal of 100202122100201 is 102001221202001.

It is a cyclic number.

It is not a de Polignac number, because 100202122100201 - 2⁴² = 95804075589097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100202122100281) 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, 1379265260 + ... + 1379337906.

It is an arithmetic number, because the mean of its divisors is an integer number (3528268390944).

Almost surely, 2^{100202122100201} is an apocalyptic number.

100202122100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100202122100201 is a deficient number, since it is larger than the sum of its proper divisors (12702466410007).

100202122100201 is a wasteful number, since it uses less digits than its factorization.

100202122100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100061.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100202122100201 its reverse (102001221202001), we get a palindrome (202203343302202).

The spelling of 100202122100201 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two million, one hundred thousand, two hundred one".