101421526300225 has 12 divisors (see below), whose sum is σ = 127007867789820. Its totient is φ = 80333882216000.

The previous prime is 101421526300223. The next prime is 101421526300273. The reversal of 101421526300225 is 522003625124101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2847426754624 + 98574099545601 = 1687432^2 + 9928449^2 .

It is not a de Polignac number, because 101421526300225 - 2¹ = 101421526300223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101421526300223) 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 in 11 ways as a sum of consecutive naturals, for example, 20083468030 + ... + 20083473079.

It is an arithmetic number, because the mean of its divisors is an integer number (10583988982485).

Almost surely, 2^{101421526300225} is an apocalyptic number.

It is an amenable number.

101421526300225 is a deficient number, since it is larger than the sum of its proper divisors (25586341489595).

101421526300225 is a wasteful number, since it uses less digits than its factorization.

101421526300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166941220 (or 40166941215 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 101421526300225 in words is "one hundred one trillion, four hundred twenty-one billion, five hundred twenty-six million, three hundred thousand, two hundred twenty-five".