100210203013120 has 104 divisors (see below), whose sum is σ = 240496742054016. Its totient is φ = 40080478568448.

The previous prime is 100210203013087. The next prime is 100210203013159. The reversal of 100210203013120 is 21310302012001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100210203013094 and 100210203013103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233728864 + ... + 234157216.

Almost surely, 2^{100210203013120} is an apocalyptic number.

100210203013120 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 100210203013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120248371027008).

100210203013120 is an abundant number, since it is smaller than the sum of its proper divisors (140286539040896).

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

100210203013120 is an equidigital number, since it uses as much as digits as its factorization.

100210203013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439805 (or 439783 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100210203013120 its reverse (21310302012001), we get a palindrome (121520505025121).

The spelling of 100210203013120 in words is "one hundred trillion, two hundred ten billion, two hundred three million, thirteen thousand, one hundred twenty".