101691326880 has 960 divisors, whose sum is σ = 433315225728. Its totient is φ = 22126141440.

The previous prime is 101691326861. The next prime is 101691326927. The reversal of 101691326880 is 88623196101.

It is a super-2 number, since 2×101691326880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68570619 + ... + 68572101.

Almost surely, 2^101691326880 is an apocalyptic number.

101691326880 is a gapful number since it is divisible by the number (10) 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 101691326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216657612864).

101691326880 is an abundant number, since it is smaller than the sum of its proper divisors (331623898848).

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

101691326880 is a wasteful number, since it uses less digits than its factorization.

101691326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 101691326880 in words is "one hundred one billion, six hundred ninety-one million, three hundred twenty-six thousand, eight hundred eighty".