2100101012113 has 16 divisors (see below), whose sum is σ = 2281771489536. Its totient is φ = 1921380269760.

The previous prime is 2100101012077. The next prime is 2100101012137. The reversal of 2100101012113 is 3112101010012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2100101012113 - 2¹³ = 2100101003921 is a prime.

It is a super-2 number, since 2×2100101012113² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100101012093 and 2100101012102.

It is not an unprimeable number, because it can be changed into a prime (2100101012183) 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 15 ways as a sum of consecutive naturals, for example, 885453 + ... + 2232538.

It is an arithmetic number, because the mean of its divisors is an integer number (142610718096).

Almost surely, 2^{2100101012113} is an apocalyptic number.

It is an amenable number.

2100101012113 is a deficient number, since it is larger than the sum of its proper divisors (181670477423).

2100101012113 is a wasteful number, since it uses less digits than its factorization.

2100101012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118464.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2100101012113 its reverse (3112101010012), we get a palindrome (5212202022125).

The spelling of 2100101012113 in words is "two trillion, one hundred billion, one hundred one million, twelve thousand, one hundred thirteen".