10211102221001 has 16 divisors (see below), whose sum is σ = 11277210946560. Its totient is φ = 9168440213520.

The previous prime is 10211102220989. The next prime is 10211102221007. The reversal of 10211102221001 is 10012220111201.

10211102221001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10211102221001 - 2³⁸ = 9936224314057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211102221007) 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, 11460365 + ... + 12319178.

It is an arithmetic number, because the mean of its divisors is an integer number (704825684160).

Almost surely, 2^{10211102221001} is an apocalyptic number.

10211102221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211102221001 is a deficient number, since it is larger than the sum of its proper divisors (1066108725559).

10211102221001 is a wasteful number, since it uses less digits than its factorization.

10211102221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23780036.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211102221001 its reverse (10012220111201), we get a palindrome (20223322332202).

The spelling of 10211102221001 in words is "ten trillion, two hundred eleven billion, one hundred two million, two hundred twenty-one thousand, one".