2102101021 has 2 divisors, whose sum is σ = 2102101022. Its totient is φ = 2102101020.

The previous prime is 2102101009. The next prime is 2102101033. The reversal of 2102101021 is 1201012012.

It is a balanced prime because it is at equal distance from previous prime (2102101009) and next prime (2102101033).

It can be written as a sum of positive squares in only one way, i.e., 1189215225 + 912885796 = 34485^2 + 30214^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102101021 - 2⁹ = 2102100509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102100989 and 2102101007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102101921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050510 + 1051050511.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050511).

Almost surely, 2^2102101021 is an apocalyptic number.

It is an amenable number.

2102101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102101021 is an equidigital number, since it uses as much as digits as its factorization.

2102101021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2102101021 is about 45848.6752371320. The cubic root of 2102101021 is about 1281.0060898984.

Adding to 2102101021 its reverse (1201012012), we get a palindrome (3303113033).

The spelling of 2102101021 in words is "two billion, one hundred two million, one hundred one thousand, twenty-one".