10122100220001 has 64 divisors (see below), whose sum is σ = 17065709531136. Its totient is φ = 5183454124800.

The previous prime is 10122100219997. The next prime is 10122100220053. The reversal of 10122100220001 is 10002200122101.

It is not a de Polignac number, because 10122100220001 - 2² = 10122100219997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122100220501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130070235 + ... + 130148031.

It is an arithmetic number, because the mean of its divisors is an integer number (266651711424).

Almost surely, 2^{10122100220001} is an apocalyptic number.

10122100220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122100220001 is a deficient number, since it is larger than the sum of its proper divisors (6943609311135).

10122100220001 is a wasteful number, since it uses less digits than its factorization.

10122100220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85822.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122100220001 its reverse (10002200122101), we get a palindrome (20124300342102).

The spelling of 10122100220001 in words is "ten trillion, one hundred twenty-two billion, one hundred million, two hundred twenty thousand, one".