2102135350561 has 2 divisors, whose sum is σ = 2102135350562. Its totient is φ = 2102135350560.

The previous prime is 2102135350501. The next prime is 2102135350663. The reversal of 2102135350561 is 1650535312012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1350897122961 + 751238227600 = 1162281^2 + 866740^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102135350561 - 2²⁹ = 2101598479649 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102135350501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051067675280 + 1051067675281.

It is an arithmetic number, because the mean of its divisors is an integer number (1051067675281).

Almost surely, 2^{2102135350561} is an apocalyptic number.

It is an amenable number.

2102135350561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102135350561 is an equidigital number, since it uses as much as digits as its factorization.

2102135350561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 2102135350561 in words is "two trillion, one hundred two billion, one hundred thirty-five million, three hundred fifty thousand, five hundred sixty-one".