101412402193657 has 2 divisors, whose sum is σ = 101412402193658. Its totient is φ = 101412402193656.

The previous prime is 101412402193639. The next prime is 101412402193693. The reversal of 101412402193657 is 756391204214101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83958021705321 + 17454380488336 = 9162861^2 + 4177844^2 .

It is a cyclic number.

It is not a de Polignac number, because 101412402193657 - 2¹¹ = 101412402191609 is a prime.

It is not a weakly prime, because it can be changed into another prime (101412402199657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50706201096828 + 50706201096829.

It is an arithmetic number, because the mean of its divisors is an integer number (50706201096829).

Almost surely, 2^{101412402193657} is an apocalyptic number.

It is an amenable number.

101412402193657 is a deficient number, since it is larger than the sum of its proper divisors (1).

101412402193657 is an equidigital number, since it uses as much as digits as its factorization.

101412402193657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 101412402193657 in words is "one hundred one trillion, four hundred twelve billion, four hundred two million, one hundred ninety-three thousand, six hundred fifty-seven".