101232770688 has 1152 divisors, whose sum is σ = 383980746240. Its totient is φ = 25391923200.

The previous prime is 101232770687. The next prime is 101232770731. The reversal of 101232770688 is 886077232101.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×101232770688² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101232770687) 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 143 ways as a sum of consecutive naturals, for example, 1219671895 + ... + 1219671977.

It is an arithmetic number, because the mean of its divisors is an integer number (333316620).

Almost surely, 2^101232770688 is an apocalyptic number.

101232770688 is a gapful number since it is divisible by the number (18) 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 101232770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990373120).

101232770688 is an abundant number, since it is smaller than the sum of its proper divisors (282747975552).

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

101232770688 is a wasteful number, since it uses less digits than its factorization.

101232770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 101232770688 in words is "one hundred one billion, two hundred thirty-two million, seven hundred seventy thousand, six hundred eighty-eight".