101129782752 has 72 divisors (see below), whose sum is σ = 297504665640. Its totient is φ = 32547513600.

The previous prime is 101129782739. The next prime is 101129782757. The reversal of 101129782752 is 257287921101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 101129782698 and 101129782707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101129782757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6045874 + ... + 6062577.

It is an arithmetic number, because the mean of its divisors is an integer number (4132009245).

Almost surely, 2^101129782752 is an apocalyptic number.

101129782752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101129782752 is an abundant number, since it is smaller than the sum of its proper divisors (196374882888).

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

101129782752 is a wasteful number, since it uses less digits than its factorization.

101129782752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12108496 (or 12108485 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 101129782752 in words is "one hundred one billion, one hundred twenty-nine million, seven hundred eighty-two thousand, seven hundred fifty-two".