101252256221 has 8 divisors (see below), whose sum is σ = 102326023800. Its totient is φ = 100179099648.

The previous prime is 101252256187. The next prime is 101252256227. The reversal of 101252256221 is 122652252101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11345232196 + 89907024025 = 106514^2 + 299845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101252256221 - 2²² = 101248061917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101252256227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184355 + ... + 486303.

It is an arithmetic number, because the mean of its divisors is an integer number (12790752975).

Almost surely, 2^101252256221 is an apocalyptic number.

It is an amenable number.

101252256221 is a deficient number, since it is larger than the sum of its proper divisors (1073767579).

101252256221 is an equidigital number, since it uses as much as digits as its factorization.

101252256221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305503.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 101252256221 in words is "one hundred one billion, two hundred fifty-two million, two hundred fifty-six thousand, two hundred twenty-one".