101222668467272 has 256 divisors, whose sum is σ = 220474707148800. Its totient is φ = 43140045312000.

The previous prime is 101222668467269. The next prime is 101222668467299. The reversal of 101222668467272 is 272764866222101.

It is a super-2 number, since 2×101222668467272² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13198935854 + ... + 13198943522.

It is an arithmetic number, because the mean of its divisors is an integer number (861229324800).

Almost surely, 2^{101222668467272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222668467272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110237353574400).

101222668467272 is an abundant number, since it is smaller than the sum of its proper divisors (119252038681528).

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

101222668467272 is a wasteful number, since it uses less digits than its factorization.

101222668467272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 101222668467272 in words is "one hundred one trillion, two hundred twenty-two billion, six hundred sixty-eight million, four hundred sixty-seven thousand, two hundred seventy-two".