10421122112401 has 64 divisors (see below), whose sum is σ = 15006313082880. Its totient is φ = 6967215440640.

The previous prime is 10421122112393. The next prime is 10421122112407.

10421122112401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10421122112401 - 2³ = 10421122112393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10421122112407) 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, 4161165 + ... + 6177178.

It is an arithmetic number, because the mean of its divisors is an integer number (234473641920).

Almost surely, 2^{10421122112401} is an apocalyptic number.

10421122112401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10421122112401 is a deficient number, since it is larger than the sum of its proper divisors (4585190970479).

10421122112401 is a wasteful number, since it uses less digits than its factorization.

10421122112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338446.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1042112 and 2112401, that added together give a palindrome (3154513).

The spelling of 10421122112401 in words is "ten trillion, four hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, four hundred one".