101341323666432 has 616 divisors, whose sum is σ = 306282844663680. Its totient is φ = 33498261504000.

The previous prime is 101341323666431. The next prime is 101341323666469. The reversal of 101341323666432 is 234666323143101.

It is a super-2 number, since 2×101341323666432² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101341323666431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 91380814294 + ... + 91380815402.

Almost surely, 2^{101341323666432} is an apocalyptic number.

101341323666432 is a gapful number since it is divisible by the number (12) 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 101341323666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153141422331840).

101341323666432 is an abundant number, since it is smaller than the sum of its proper divisors (204941520997248).

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

101341323666432 is an equidigital number, since it uses as much as digits as its factorization.

101341323666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 101341323666432 in words is "one hundred one trillion, three hundred forty-one billion, three hundred twenty-three million, six hundred sixty-six thousand, four hundred thirty-two".