101822257216 has 21 divisors (see below), whose sum is σ = 202058607439. Its totient is φ = 50909852224.

The previous prime is 101822257181. The next prime is 101822257237. The reversal of 101822257216 is 612752228101.

It is a happy number.

The square root of 101822257216 is 319096.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×101822257216² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2532825 + ... + 2572711.

Almost surely, 2^101822257216 is an apocalyptic number.

101822257216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101822257216 is the 319096-th square number.

It is an amenable number.

101822257216 is a deficient number, since it is larger than the sum of its proper divisors (100236350223).

101822257216 is an frugal number, since it uses more digits than its factorization.

101822257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79786 (or 39889 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 101822257216 in words is "one hundred one billion, eight hundred twenty-two million, two hundred fifty-seven thousand, two hundred sixteen".