101666051026213 has 2 divisors, whose sum is σ = 101666051026214. Its totient is φ = 101666051026212.

The previous prime is 101666051026187. The next prime is 101666051026217. The reversal of 101666051026213 is 312620150666101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101242898174209 + 423152852004 = 10061953^2 + 650502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101666051026213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101666051026217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50833025513106 + 50833025513107.

It is an arithmetic number, because the mean of its divisors is an integer number (50833025513107).

Almost surely, 2^{101666051026213} is an apocalyptic number.

It is an amenable number.

101666051026213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101666051026213 is an equidigital number, since it uses as much as digits as its factorization.

101666051026213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 101666051026213 in words is "one hundred one trillion, six hundred sixty-six billion, fifty-one million, twenty-six thousand, two hundred thirteen".