120210011222100 has 288 divisors, whose sum is σ = 367610273520000. Its totient is φ = 30244885125120.

The previous prime is 120210011222071. The next prime is 120210011222101. The reversal of 120210011222100 is 1222110012021.

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 120210011222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210011222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1649093254 + ... + 1649166146.

Almost surely, 2^{120210011222100} is an apocalyptic number.

120210011222100 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 120210011222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183805136760000).

120210011222100 is an abundant number, since it is smaller than the sum of its proper divisors (247400262297900).

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

120210011222100 is a wasteful number, since it uses less digits than its factorization.

120210011222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74107 (or 74100 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120210011222100 its reverse (1222110012021), we get a palindrome (121432121234121).

The spelling of 120210011222100 in words is "one hundred twenty trillion, two hundred ten billion, eleven million, two hundred twenty-two thousand, one hundred".