210100101211221 has 192 divisors, whose sum is σ = 334392748435200. Its totient is φ = 116477861068800.

The previous prime is 210100101211213. The next prime is 210100101211261. The reversal of 210100101211221 is 122112101001012.

It is a happy number.

It is not a de Polignac number, because 210100101211221 - 2³ = 210100101211213 is a prime.

It is a super-2 number, since 2×210100101211221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210100101211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100101211201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19582444185 + ... + 19582454913.

It is an arithmetic number, because the mean of its divisors is an integer number (1741628898100).

Almost surely, 2^{210100101211221} is an apocalyptic number.

It is an amenable number.

210100101211221 is a deficient number, since it is larger than the sum of its proper divisors (124292647223979).

210100101211221 is a wasteful number, since it uses less digits than its factorization.

210100101211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 11303 counting only the distinct ones).

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

Adding to 210100101211221 its reverse (122112101001012), we get a palindrome (332212202212233).

The spelling of 210100101211221 in words is "two hundred ten trillion, one hundred billion, one hundred one million, two hundred eleven thousand, two hundred twenty-one".