10012002112101 has 16 divisors (see below), whose sum is σ = 14563318271040. Its totient is φ = 6067710856320.

The previous prime is 10012002112069. The next prime is 10012002112117. The reversal of 10012002112101 is 10121120021001.

It is not a de Polignac number, because 10012002112101 - 2⁵ = 10012002112069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012002112171) 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, 3023856 + ... + 5400713.

It is an arithmetic number, because the mean of its divisors is an integer number (910207391940).

Almost surely, 2^{10012002112101} is an apocalyptic number.

10012002112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012002112101 is a deficient number, since it is larger than the sum of its proper divisors (4551316158939).

10012002112101 is a wasteful number, since it uses less digits than its factorization.

10012002112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460596.

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

Adding to 10012002112101 its reverse (10121120021001), we get a palindrome (20133122133102).

Subtracting 10012002112101 from its reverse (10121120021001), we obtain a square (109117908900 = 330330²).

The spelling of 10012002112101 in words is "ten trillion, twelve billion, two million, one hundred twelve thousand, one hundred one".