210100122211101 has 32 divisors (see below), whose sum is σ = 288105486090240. Its totient is φ = 136108165449600.

The previous prime is 210100122211087. The next prime is 210100122211139. The reversal of 210100122211101 is 101112221001012.

It is a happy number.

It is not a de Polignac number, because 210100122211101 - 2²⁵ = 210100088656669 is a prime.

It is a super-2 number, since 2×210100122211101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100122211141) 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, 118552560 + ... + 120311718.

It is an arithmetic number, because the mean of its divisors is an integer number (9003296440320).

Almost surely, 2^{210100122211101} is an apocalyptic number.

It is an amenable number.

210100122211101 is a deficient number, since it is larger than the sum of its proper divisors (78005363879139).

210100122211101 is a wasteful number, since it uses less digits than its factorization.

210100122211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763057.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210100122211101 its reverse (101112221001012), we get a palindrome (311212343212113).

The spelling of 210100122211101 in words is "two hundred ten trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, one hundred one".