10214591551601 has 2 divisors, whose sum is σ = 10214591551602. Its totient is φ = 10214591551600.

The previous prime is 10214591551579. The next prime is 10214591551679. The reversal of 10214591551601 is 10615519541201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8662073059600 + 1552518492001 = 2943140^2 + 1246001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10214591551601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10214591551301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5107295775800 + 5107295775801.

It is an arithmetic number, because the mean of its divisors is an integer number (5107295775801).

Almost surely, 2^{10214591551601} is an apocalyptic number.

It is an amenable number.

10214591551601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214591551601 is an equidigital number, since it uses as much as digits as its factorization.

10214591551601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 41.

The spelling of 10214591551601 in words is "ten trillion, two hundred fourteen billion, five hundred ninety-one million, five hundred fifty-one thousand, six hundred one".