101622164224 has 72 divisors (see below), whose sum is σ = 232159138848. Its totient is φ = 43489689600.

The previous prime is 101622164213. The next prime is 101622164249. The reversal of 101622164224 is 422461226101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215744 + ... + 1296640.

It is an arithmetic number, because the mean of its divisors is an integer number (3224432484).

Almost surely, 2^101622164224 is an apocalyptic number.

101622164224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101622164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116079569424).

101622164224 is an abundant number, since it is smaller than the sum of its proper divisors (130536974624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101622164224 is an frugal number, since it uses more digits than its factorization.

101622164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81621 (or 81607 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 101622164224 in words is "one hundred one billion, six hundred twenty-two million, one hundred sixty-four thousand, two hundred twenty-four".