100331552100000 has 576 divisors, whose sum is σ = 354686828590080. Its totient is φ = 24684979200000.

The previous prime is 100331552099981. The next prime is 100331552100007. The reversal of 100331552100000 is 1255133001.

It is a self number, because there is not a number n which added to its sum of digits gives 100331552100000.

It is not an unprimeable number, because it can be changed into a prime (100331552100007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10104895036 + ... + 10104904964.

It is an arithmetic number, because the mean of its divisors is an integer number (615775744080).

Almost surely, 2^{100331552100000} is an apocalyptic number.

100331552100000 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 100331552100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177343414295040).

100331552100000 is an abundant number, since it is smaller than the sum of its proper divisors (254355276490080).

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

100331552100000 is an equidigital number, since it uses as much as digits as its factorization.

100331552100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12571 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The spelling of 100331552100000 in words is "one hundred trillion, three hundred thirty-one billion, five hundred fifty-two million, one hundred thousand".