101027721312 has 768 divisors, whose sum is σ = 381111091200. Its totient is φ = 25360957440.

The previous prime is 101027721299. The next prime is 101027721323. The reversal of 101027721312 is 213127720101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92431038 + ... + 92432130.

It is an arithmetic number, because the mean of its divisors is an integer number (496238400).

Almost surely, 2^101027721312 is an apocalyptic number.

101027721312 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 101027721312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190555545600).

101027721312 is an abundant number, since it is smaller than the sum of its proper divisors (280083369888).

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

101027721312 is a wasteful number, since it uses less digits than its factorization.

101027721312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 101027721312 in words is "one hundred one billion, twenty-seven million, seven hundred twenty-one thousand, three hundred twelve".