2131209102101 has 2 divisors, whose sum is σ = 2131209102102. Its totient is φ = 2131209102100.

The previous prime is 2131209102067. The next prime is 2131209102137. The reversal of 2131209102101 is 1012019021312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1171643880625 + 959565221476 = 1082425^2 + 979574^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131209102101 - 2¹⁸ = 2131208839957 is a prime.

It is a super-2 number, since 2×2131209102101² (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 (2131209102161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065604551050 + 1065604551051.

It is an arithmetic number, because the mean of its divisors is an integer number (1065604551051).

Almost surely, 2^{2131209102101} is an apocalyptic number.

It is an amenable number.

2131209102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131209102101 is an equidigital number, since it uses as much as digits as its factorization.

2131209102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 2131209102101 in words is "two trillion, one hundred thirty-one billion, two hundred nine million, one hundred two thousand, one hundred one".