2100001021101 has 12 divisors (see below), whose sum is σ = 3035126522428. Its totient is φ = 1399173735744.

The previous prime is 2100001021087. The next prime is 2100001021169. The reversal of 2100001021101 is 1011201000012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 728411040900 + 1371589980201 = 853470^2 + 1171149^2 .

It is not a de Polignac number, because 2100001021101 - 2¹⁰ = 2100001020077 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001071101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68896000 + ... + 68926473.

Almost surely, 2^{2100001021101} is an apocalyptic number.

It is an amenable number.

2100001021101 is a deficient number, since it is larger than the sum of its proper divisors (935125501327).

2100001021101 is a wasteful number, since it uses less digits than its factorization.

2100001021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137824172 (or 137824169 counting only the distinct ones).

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

Adding to 2100001021101 its reverse (1011201000012), we get a palindrome (3111202021113).

The spelling of 2100001021101 in words is "two trillion, one hundred billion, one million, twenty-one thousand, one hundred one".