10112002121001 has 16 divisors (see below), whose sum is σ = 14709629043648. Its totient is φ = 6127960166400.

The previous prime is 10112002120991. The next prime is 10112002121021. The reversal of 10112002121001 is 10012120021101.

It is not a de Polignac number, because 10112002121001 - 2¹⁹ = 10112001596713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112002121021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12758680 + ... + 13528041.

It is an arithmetic number, because the mean of its divisors is an integer number (919351815228).

Almost surely, 2^{10112002121001} is an apocalyptic number.

10112002121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112002121001 is a deficient number, since it is larger than the sum of its proper divisors (4597626922647).

10112002121001 is a wasteful number, since it uses less digits than its factorization.

10112002121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26298392.

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

Adding to 10112002121001 its reverse (10012120021101), we get a palindrome (20124122142102).

The spelling of 10112002121001 in words is "ten trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, one".