210100220211121 has 32 divisors (see below), whose sum is σ = 212536292567040. Its totient is φ = 207684199195200.

The previous prime is 210100220211067. The next prime is 210100220211127. The reversal of 210100220211121 is 121112022001012.

It is a cyclic number.

It is not a de Polignac number, because 210100220211121 - 2³⁵ = 210065860472753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210100220211095 and 210100220211104.

It is not an unprimeable number, because it can be changed into a prime (210100220211127) 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 31 ways as a sum of consecutive naturals, for example, 19564220370 + ... + 19564231108.

It is an arithmetic number, because the mean of its divisors is an integer number (6641759142720).

Almost surely, 2^{210100220211121} is an apocalyptic number.

It is an amenable number.

210100220211121 is a deficient number, since it is larger than the sum of its proper divisors (2436072355919).

210100220211121 is a wasteful number, since it uses less digits than its factorization.

210100220211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210100220211121 its reverse (121112022001012), we get a palindrome (331212242212133).

The spelling of 210100220211121 in words is "two hundred ten trillion, one hundred billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty-one".