10211211222101 has 8 divisors (see below), whose sum is σ = 10812177791064. Its totient is φ = 9610278773760.

The previous prime is 10211211222053. The next prime is 10211211222187. The reversal of 10211211222101 is 10122211211201.

It can be written as a sum of positive squares in 4 ways, for example, as 1776891666001 + 8434319556100 = 1333001^2 + 2904190^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211211222101 - 2²⁶ = 10211144113237 is a prime.

It is a super-2 number, since 2×10211211222101² (a number of 27 digits) contains 22 as substring.

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 10211211222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211211422101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7912730 + ... + 9112283.

It is an arithmetic number, because the mean of its divisors is an integer number (1351522223883).

Almost surely, 2^{10211211222101} is an apocalyptic number.

It is an amenable number.

10211211222101 is a deficient number, since it is larger than the sum of its proper divisors (600966568963).

10211211222101 is a wasteful number, since it uses less digits than its factorization.

10211211222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17060311.

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

Adding to 10211211222101 its reverse (10122211211201), we get a palindrome (20333422433302).

The spelling of 10211211222101 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty-two thousand, one hundred one".