10122112410001 has 8 divisors (see below), whose sum is σ = 10127712272000. Its totient is φ = 10116513088272.

The previous prime is 10122112409987. The next prime is 10122112410017. The reversal of 10122112410001 is 10001421122101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122112410001 - 2⁹ = 10122112409489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122112410041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40741711 + ... + 40989403.

It is an arithmetic number, because the mean of its divisors is an integer number (1265964034000).

Almost surely, 2^{10122112410001} is an apocalyptic number.

It is an amenable number.

10122112410001 is a deficient number, since it is larger than the sum of its proper divisors (5599861999).

10122112410001 is a wasteful number, since it uses less digits than its factorization.

10122112410001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270135.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122112410001 its reverse (10001421122101), we get a palindrome (20123533532102).

The spelling of 10122112410001 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, four hundred ten thousand, one".