101477774201 has 2 divisors, whose sum is σ = 101477774202. Its totient is φ = 101477774200.

The previous prime is 101477774149. The next prime is 101477774221. The reversal of 101477774201 is 102477774101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78581544976 + 22896229225 = 280324^2 + 151315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101477774201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101477774221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50738887100 + 50738887101.

It is an arithmetic number, because the mean of its divisors is an integer number (50738887101).

Almost surely, 2^101477774201 is an apocalyptic number.

It is an amenable number.

101477774201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101477774201 is an equidigital number, since it uses as much as digits as its factorization.

101477774201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76832, while the sum is 41.

The spelling of 101477774201 in words is "one hundred one billion, four hundred seventy-seven million, seven hundred seventy-four thousand, two hundred one".