10122200212101 has 32 divisors (see below), whose sum is σ = 13739008358400. Its totient is φ = 6628048979904.

The previous prime is 10122200211913. The next prime is 10122200212151. The reversal of 10122200212101 is 10121200222101.

It is not a de Polignac number, because 10122200212101 - 2⁹ = 10122200211589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122200212151) 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, 19233006 + ... + 19752288.

It is an arithmetic number, because the mean of its divisors is an integer number (429344011200).

Almost surely, 2^{10122200212101} is an apocalyptic number.

It is an amenable number.

10122200212101 is a deficient number, since it is larger than the sum of its proper divisors (3616808146299).

10122200212101 is a wasteful number, since it uses less digits than its factorization.

10122200212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519905.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122200212101 its reverse (10121200222101), we get a palindrome (20243400434202).

The spelling of 10122200212101 in words is "ten trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, one hundred one".