101255553601 has 2 divisors, whose sum is σ = 101255553602. Its totient is φ = 101255553600.

The previous prime is 101255553599. The next prime is 101255553643. The reversal of 101255553601 is 106355552101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89252160001 + 12003393600 = 298751^2 + 109560^2 .

It is a cyclic number.

It is not a de Polignac number, because 101255553601 - 2¹ = 101255553599 is a prime.

Together with 101255553599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101255553401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50627776800 + 50627776801.

It is an arithmetic number, because the mean of its divisors is an integer number (50627776801).

Almost surely, 2^101255553601 is an apocalyptic number.

It is an amenable number.

101255553601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101255553601 is an equidigital number, since it uses as much as digits as its factorization.

101255553601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 101255553601 in words is "one hundred one billion, two hundred fifty-five million, five hundred fifty-three thousand, six hundred one".