2101000102101 has 12 divisors (see below), whose sum is σ = 3034792638540. Its totient is φ = 1400659944000.

The previous prime is 2101000102063. The next prime is 2101000102129. The reversal of 2101000102101 is 1012010001012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1938357278001 + 162642824100 = 1392249^2 + 403290^2 .

It is not a de Polignac number, because 2101000102101 - 2⁶ = 2101000102037 is a prime.

It is a super-2 number, since 2×2101000102101² (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 (2101000104101) 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, 2011351 + ... + 2871851.

It is an arithmetic number, because the mean of its divisors is an integer number (252899386545).

Almost surely, 2^{2101000102101} is an apocalyptic number.

It is an amenable number.

2101000102101 is a deficient number, since it is larger than the sum of its proper divisors (933792536439).

2101000102101 is a wasteful number, since it uses less digits than its factorization.

2101000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131796 (or 1131793 counting only the distinct ones).

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

Adding to 2101000102101 its reverse (1012010001012), we get a palindrome (3113010103113).

The spelling of 2101000102101 in words is "two trillion, one hundred one billion, one hundred two thousand, one hundred one".