101139484992 has 896 divisors, whose sum is σ = 361803939840. Its totient is φ = 24215224320.

The previous prime is 101139484931. The next prime is 101139485003. The reversal of 101139484992 is 299484931101.

It is a super-3 number, since 3×101139484992³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738244348 + ... + 738244484.

It is an arithmetic number, because the mean of its divisors is an integer number (403799040).

Almost surely, 2^101139484992 is an apocalyptic number.

101139484992 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 101139484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180901969920).

101139484992 is an abundant number, since it is smaller than the sum of its proper divisors (260664454848).

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

101139484992 is a wasteful number, since it uses less digits than its factorization.

101139484992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 101139484992 in words is "one hundred one billion, one hundred thirty-nine million, four hundred eighty-four thousand, nine hundred ninety-two".