10100222122211 has 32 divisors (see below), whose sum is σ = 11050723676160. Its totient is φ = 9175703514624.

The previous prime is 10100222122183. The next prime is 10100222122217. The reversal of 10100222122211 is 11222122200101.

10100222122211 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 10100222122211 - 2⁶ = 10100222122147 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 10100222122211.

It is not an unprimeable number, because it can be changed into a prime (10100222122217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652756571 + ... + 652772043.

It is an arithmetic number, because the mean of its divisors is an integer number (345335114880).

Almost surely, 2^{10100222122211} is an apocalyptic number.

10100222122211 is a deficient number, since it is larger than the sum of its proper divisors (950501553949).

10100222122211 is a wasteful number, since it uses less digits than its factorization.

10100222122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18635.

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

Adding to 10100222122211 its reverse (11222122200101), we get a palindrome (21322344322312).

The spelling of 10100222122211 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred eleven".