101022201022211 has 16 divisors (see below), whose sum is σ = 115881351168000. Its totient is φ = 86270394701088.

The previous prime is 101022201022187. The next prime is 101022201022217. The reversal of 101022201022211 is 112220102220101.

It is a cyclic number.

It is not a de Polignac number, because 101022201022211 - 2³⁸ = 100747323115267 is a prime.

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 101022201022211.

It is not an unprimeable number, because it can be changed into a prime (101022201022217) 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, 18037136 + ... + 22964813.

It is an arithmetic number, because the mean of its divisors is an integer number (7242584448000).

Almost surely, 2^{101022201022211} is an apocalyptic number.

101022201022211 is a deficient number, since it is larger than the sum of its proper divisors (14859150145789).

101022201022211 is an equidigital number, since it uses as much as digits as its factorization.

101022201022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41003258.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101022201022211 its reverse (112220102220101), we get a palindrome (213242303242312).

The spelling of 101022201022211 in words is "one hundred one trillion, twenty-two billion, two hundred one million, twenty-two thousand, two hundred eleven".