2101000002101 has 96 divisors (see below), whose sum is σ = 3007609651200. Its totient is φ = 1424148739200.

The previous prime is 2101000002097. The next prime is 2101000002107. The reversal of 2101000002101 is 1012000001012.

It is not a de Polignac number, because 2101000002101 - 2² = 2101000002097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101000002107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39932630 + ... + 39985208.

It is an arithmetic number, because the mean of its divisors is an integer number (31329267200).

Almost surely, 2^{2101000002101} is an apocalyptic number.

It is an amenable number.

2101000002101 is a deficient number, since it is larger than the sum of its proper divisors (906609649099).

2101000002101 is a wasteful number, since it uses less digits than its factorization.

2101000002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52831 (or 52820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101000002101 its reverse (1012000001012), we get a palindrome (3113000003113).

The spelling of 2101000002101 in words is "two trillion, one hundred one billion, two thousand, one hundred one".