10000112002101 has 24 divisors (see below), whose sum is σ = 15556032306360. Its totient is φ = 6153795398016.

The previous prime is 10000112002051. The next prime is 10000112002141. The reversal of 10000112002101 is 10120021100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2160168002001 + 7839944000100 = 1469751^2 + 2799990^2 .

It is not a de Polignac number, because 10000112002101 - 2¹⁸ = 10000111739957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000112002141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5410135 + ... + 7019243.

It is an arithmetic number, because the mean of its divisors is an integer number (648168012765).

Almost surely, 2^{10000112002101} is an apocalyptic number.

It is an amenable number.

10000112002101 is a deficient number, since it is larger than the sum of its proper divisors (5555920304259).

10000112002101 is a wasteful number, since it uses less digits than its factorization.

10000112002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662245 (or 1662242 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000112002101 its reverse (10120021100001), we get a palindrome (20120133102102).

The spelling of 10000112002101 in words is "ten trillion, one hundred twelve million, two thousand, one hundred one".