101627342763232 has 192 divisors, whose sum is σ = 244738178129088. Its totient is φ = 40918837248000.

The previous prime is 101627342763211. The next prime is 101627342763259. The reversal of 101627342763232 is 232367243726101.

It is a super-2 number, since 2×101627342763232² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7004598 + ... + 15884554.

It is an arithmetic number, because the mean of its divisors is an integer number (1274678011089).

Almost surely, 2^{101627342763232} 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 101627342763232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122369089064544).

101627342763232 is an abundant number, since it is smaller than the sum of its proper divisors (143110835365856).

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

101627342763232 is a wasteful number, since it uses less digits than its factorization.

101627342763232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880093 (or 8880085 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 49.

The spelling of 101627342763232 in words is "one hundred one trillion, six hundred twenty-seven billion, three hundred forty-two million, seven hundred sixty-three thousand, two hundred thirty-two".