2100010012101 has 48 divisors (see below), whose sum is σ = 3179096024832. Its totient is φ = 1334794032000.

The previous prime is 2100010012099. The next prime is 2100010012129. The reversal of 2100010012101 is 1012100100012.

It is a happy number.

It is not a de Polignac number, because 2100010012101 - 2¹ = 2100010012099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100010012501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1980276 + ... + 2849826.

It is an arithmetic number, because the mean of its divisors is an integer number (66231167184).

Almost surely, 2^{2100010012101} is an apocalyptic number.

It is an amenable number.

2100010012101 is a deficient number, since it is larger than the sum of its proper divisors (1079086012731).

2100010012101 is a wasteful number, since it uses less digits than its factorization.

2100010012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869754 (or 869751 counting only the distinct ones).

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

Adding to 2100010012101 its reverse (1012100100012), we get a palindrome (3112110112113).

The spelling of 2100010012101 in words is "two trillion, one hundred billion, ten million, twelve thousand, one hundred one".