10122112210001 has 16 divisors (see below), whose sum is σ = 11495831826240. Its totient is φ = 8828022665280.

The previous prime is 10122112209961. The next prime is 10122112210013. The reversal of 10122112210001 is 10001221122101.

It is a cyclic number.

It is not a de Polignac number, because 10122112210001 - 2²² = 10122108015697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122112210501) 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, 101003291 + ... + 101103456.

It is an arithmetic number, because the mean of its divisors is an integer number (718489489140).

Almost surely, 2^{10122112210001} is an apocalyptic number.

10122112210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122112210001 is a deficient number, since it is larger than the sum of its proper divisors (1373719616239).

10122112210001 is a wasteful number, since it uses less digits than its factorization.

10122112210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202106944.

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

Adding to 10122112210001 its reverse (10001221122101), we get a palindrome (20123333332102).

The spelling of 10122112210001 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, one".