10012001122101 has 64 divisors (see below), whose sum is σ = 15542256844800. Its totient is φ = 5668865092800.

The previous prime is 10012001122093. The next prime is 10012001122147. The reversal of 10012001122101 is 10122110021001.

10012001122101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012001122101 - 2³ = 10012001122093 is a prime.

It is a super-2 number, since 2×10012001122101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012001123101) 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, 40841586 + ... + 41085996.

It is an arithmetic number, because the mean of its divisors is an integer number (242847763200).

Almost surely, 2^{10012001122101} is an apocalyptic number.

10012001122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012001122101 is a deficient number, since it is larger than the sum of its proper divisors (5530255722699).

10012001122101 is a wasteful number, since it uses less digits than its factorization.

10012001122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245350.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012001122101 its reverse (10122110021001), we get a palindrome (20134111143102).

The spelling of 10012001122101 in words is "ten trillion, twelve billion, one million, one hundred twenty-two thousand, one hundred one".