2100020020101 has 32 divisors (see below), whose sum is σ = 3284007552000. Its totient is φ = 1322633809584.

The previous prime is 2100020020073. The next prime is 2100020020103. The reversal of 2100020020101 is 1010200200012.

It is not a de Polignac number, because 2100020020101 - 2⁵ = 2100020020069 is a prime.

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 (2100020020103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5517235 + ... + 5885568.

It is an arithmetic number, because the mean of its divisors is an integer number (102625236000).

Almost surely, 2^{2100020020101} is an apocalyptic number.

It is an amenable number.

2100020020101 is a deficient number, since it is larger than the sum of its proper divisors (1183987531899).

2100020020101 is a wasteful number, since it uses less digits than its factorization.

2100020020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11403190 (or 11403184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100020020101 its reverse (1010200200012), we get a palindrome (3110220220113).

The spelling of 2100020020101 in words is "two trillion, one hundred billion, twenty million, twenty thousand, one hundred one".