101011308912 has 120 divisors (see below), whose sum is σ = 290478769776. Its totient is φ = 32743830528.

The previous prime is 101011308911. The next prime is 101011308913. The reversal of 101011308912 is 219803110101.

It is an interprime number because it is at equal distance from previous prime (101011308911) and next prime (101011308913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011308911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14792443 + ... + 14799269.

Almost surely, 2^101011308912 is an apocalyptic number.

101011308912 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 101011308912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145239384888).

101011308912 is an abundant number, since it is smaller than the sum of its proper divisors (189467460864).

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

101011308912 is a wasteful number, since it uses less digits than its factorization.

101011308912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 101011308912 in words is "one hundred one billion, eleven million, three hundred eight thousand, nine hundred twelve".