100761641120 has 384 divisors, whose sum is σ = 303056474112. Its totient is φ = 30862540800.

The previous prime is 100761641087. The next prime is 100761641161. The reversal of 100761641120 is 21146167001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31281110 + ... + 31284330.

It is an arithmetic number, because the mean of its divisors is an integer number (789209568).

Almost surely, 2^100761641120 is an apocalyptic number.

100761641120 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 100761641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151528237056).

100761641120 is an abundant number, since it is smaller than the sum of its proper divisors (202294832992).

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

100761641120 is a wasteful number, since it uses less digits than its factorization.

100761641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 100761641120 in words is "one hundred billion, seven hundred sixty-one million, six hundred forty-one thousand, one hundred twenty".