221210211012101 has 16 divisors (see below), whose sum is σ = 235063144890288. Its totient is φ = 207450718003200.

The previous prime is 221210211012079. The next prime is 221210211012157. The reversal of 221210211012101 is 101210112012122.

It can be written as a sum of positive squares in 8 ways, for example, as 8141743183876 + 213068467828225 = 2853374^2 + 14596865^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210211012101 - 2¹⁰ = 221210211011077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221210211012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210211072101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162950621 + ... + 164302541.

It is an arithmetic number, because the mean of its divisors is an integer number (14691446555643).

Almost surely, 2^{221210211012101} is an apocalyptic number.

It is an amenable number.

221210211012101 is a deficient number, since it is larger than the sum of its proper divisors (13852933878187).

221210211012101 is a wasteful number, since it uses less digits than its factorization.

221210211012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386472.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221210211012101 its reverse (101210112012122), we get a palindrome (322420323024223).

The spelling of 221210211012101 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred eleven million, twelve thousand, one hundred one".