101129360640 has 1728 divisors, whose sum is σ = 450969845760. Its totient is φ = 18815385600.

The previous prime is 101129360617. The next prime is 101129360641. The reversal of 101129360640 is 46063921101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101129360641) 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 191 ways as a sum of consecutive naturals, for example, 1714056931 + ... + 1714056989.

It is an arithmetic number, because the mean of its divisors is an integer number (260977920).

Almost surely, 2^101129360640 is an apocalyptic number.

101129360640 is a gapful number since it is divisible by the number (10) 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 101129360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225484922880).

101129360640 is an abundant number, since it is smaller than the sum of its proper divisors (349840485120).

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

101129360640 is a wasteful number, since it uses less digits than its factorization.

101129360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 101129360640 in words is "one hundred one billion, one hundred twenty-nine million, three hundred sixty thousand, six hundred forty".