2100012100101 has 24 divisors (see below), whose sum is σ = 3060903445080. Its totient is φ = 1387297207296.

The previous prime is 2100012099961. The next prime is 2100012100159. The reversal of 2100012100101 is 1010012100012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58539802500 + 2041472297601 = 241950^2 + 1428801^2 .

It is not a de Polignac number, because 2100012100101 - 2⁹ = 2100012099589 is a prime.

It is a super-2 number, since 2×2100012100101² (a number of 25 digits) contains 22 as substring.

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 (2100012100201) 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, 4194105 + ... + 4668033.

It is an arithmetic number, because the mean of its divisors is an integer number (127537643545).

Almost surely, 2^{2100012100101} is an apocalyptic number.

It is an amenable number.

2100012100101 is a deficient number, since it is larger than the sum of its proper divisors (960891344979).

2100012100101 is a wasteful number, since it uses less digits than its factorization.

2100012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478405 (or 478402 counting only the distinct ones).

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

Adding to 2100012100101 its reverse (1010012100012), we get a palindrome (3110024200113).

The spelling of 2100012100101 in words is "two trillion, one hundred billion, twelve million, one hundred thousand, one hundred one".