2100020102101 has 2 divisors, whose sum is σ = 2100020102102. Its totient is φ = 2100020102100.

The previous prime is 2100020102077. The next prime is 2100020102123. The reversal of 2100020102101 is 1012010200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1235354446225 + 864665655876 = 1111465^2 + 929874^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100020102101 - 2³⁵ = 2065660363733 is a prime.

It is a super-2 number, since 2×2100020102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100020106101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050010051050 + 1050010051051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050010051051).

Almost surely, 2^{2100020102101} is an apocalyptic number.

It is an amenable number.

2100020102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100020102101 is an equidigital number, since it uses as much as digits as its factorization.

2100020102101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2100020102101 its reverse (1012010200012), we get a palindrome (3112030302113).

The spelling of 2100020102101 in words is "two trillion, one hundred billion, twenty million, one hundred two thousand, one hundred one".