100210321120 has 288 divisors, whose sum is σ = 293950762560. Its totient is φ = 31610142720.

The previous prime is 100210321067. The next prime is 100210321153. The reversal of 100210321120 is 21123012001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100210321120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73629240 + ... + 73630600.

It is an arithmetic number, because the mean of its divisors is an integer number (1020662370).

Almost surely, 2^100210321120 is an apocalyptic number.

100210321120 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 100210321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146975381280).

100210321120 is an abundant number, since it is smaller than the sum of its proper divisors (193740441440).

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

100210321120 is a wasteful number, since it uses less digits than its factorization.

100210321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100210321120 its reverse (21123012001), we get a palindrome (121333333121).

The spelling of 100210321120 in words is "one hundred billion, two hundred ten million, three hundred twenty-one thousand, one hundred twenty".