100120211121210 has 256 divisors, whose sum is σ = 285753807618048. Its totient is φ = 21976029388800.

The previous prime is 100120211121209. The next prime is 100120211121223. The reversal of 100120211121210 is 12121112021001.

It is a happy number.

100120211121210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100120211121210.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193406242 + ... + 193923218.

It is an arithmetic number, because the mean of its divisors is an integer number (1116225811008).

Almost surely, 2^{100120211121210} is an apocalyptic number.

100120211121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120211121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142876903809024).

100120211121210 is an abundant number, since it is smaller than the sum of its proper divisors (185633596496838).

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

100120211121210 is a wasteful number, since it uses less digits than its factorization.

100120211121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517389.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100120211121210 its reverse (12121112021001), we get a palindrome (112241323142211).

The spelling of 100120211121210 in words is "one hundred trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, two hundred ten".