10122100022001 has 32 divisors (see below), whose sum is σ = 15648391047168. Its totient is φ = 5751793399040.

The previous prime is 10122100021991. The next prime is 10122100022011. The reversal of 10122100022001 is 10022000122101.

10122100022001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122100021991) and next prime (10122100022011).

It is a cyclic number.

It is not a de Polignac number, because 10122100022001 - 2³³ = 10113510087409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122100022011) 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, 34154661 + ... + 34449746.

It is an arithmetic number, because the mean of its divisors is an integer number (489012220224).

Almost surely, 2^{10122100022001} is an apocalyptic number.

10122100022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122100022001 is a deficient number, since it is larger than the sum of its proper divisors (5526291025167).

10122100022001 is a wasteful number, since it uses less digits than its factorization.

10122100022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68604701.

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

Adding to 10122100022001 its reverse (10022000122101), we get a palindrome (20144100144102).

The spelling of 10122100022001 in words is "ten trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, one".