101134139392 has 256 divisors, whose sum is σ = 240984253440. Its totient is φ = 41838182400.

The previous prime is 101134139387. The next prime is 101134139423. The reversal of 101134139392 is 293931431101.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×101134139392² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529498017 + ... + 529498207.

It is an arithmetic number, because the mean of its divisors is an integer number (941344740).

Almost surely, 2^101134139392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101134139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120492126720).

101134139392 is an abundant number, since it is smaller than the sum of its proper divisors (139850114048).

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

101134139392 is a wasteful number, since it uses less digits than its factorization.

101134139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 101134139392 in words is "one hundred one billion, one hundred thirty-four million, one hundred thirty-nine thousand, three hundred ninety-two".