10122120212001 has 32 divisors (see below), whose sum is σ = 15574524026880. Its totient is φ = 5727695143104.

The previous prime is 10122120211927. The next prime is 10122120212023. The reversal of 10122120212001 is 10021202122101.

It is not a de Polignac number, because 10122120212001 - 2¹⁰ = 10122120210977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122120216001) 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, 69452515 + ... + 69598103.

It is an arithmetic number, because the mean of its divisors is an integer number (486703875840).

Almost surely, 2^{10122120212001} is an apocalyptic number.

It is an amenable number.

10122120212001 is a deficient number, since it is larger than the sum of its proper divisors (5452403814879).

10122120212001 is a wasteful number, since it uses less digits than its factorization.

10122120212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177845.

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

Adding to 10122120212001 its reverse (10021202122101), we get a palindrome (20143322334102).

The spelling of 10122120212001 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, one".