2101100212121 has 16 divisors (see below), whose sum is σ = 2130998227008. Its totient is φ = 2071313899200.

The previous prime is 2101100212067. The next prime is 2101100212157. The reversal of 2101100212121 is 1212120011012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101100212121 is a prime.

It is a super-2 number, since 2×2101100212121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101100212096 and 2101100212105.

It is not an unprimeable number, because it can be changed into a prime (2101100212181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193448231 + ... + 193459091.

It is an arithmetic number, because the mean of its divisors is an integer number (133187389188).

Almost surely, 2^{2101100212121} is an apocalyptic number.

It is an amenable number.

2101100212121 is a deficient number, since it is larger than the sum of its proper divisors (29898014887).

2101100212121 is a wasteful number, since it uses less digits than its factorization.

2101100212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15752.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101100212121 its reverse (1212120011012), we get a palindrome (3313220223133).

The spelling of 2101100212121 in words is "two trillion, one hundred one billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".