10112100002101 has 32 divisors (see below), whose sum is σ = 10511544067200. Its totient is φ = 9722888524800.

The previous prime is 10112100002089. The next prime is 10112100002119. The reversal of 10112100002101 is 10120000121101.

It is a cyclic number.

It is not a de Polignac number, because 10112100002101 - 2¹¹ = 10112100000053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112100002131) 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, 1585213930 + ... + 1585220308.

It is an arithmetic number, because the mean of its divisors is an integer number (328485752100).

Almost surely, 2^{10112100002101} is an apocalyptic number.

It is an amenable number.

10112100002101 is a deficient number, since it is larger than the sum of its proper divisors (399444065099).

10112100002101 is a wasteful number, since it uses less digits than its factorization.

10112100002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9829.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10112100002101 its reverse (10120000121101), we get a palindrome (20232100123202).

The spelling of 10112100002101 in words is "ten trillion, one hundred twelve billion, one hundred million, two thousand, one hundred one".