120200333122100 has 216 divisors, whose sum is σ = 331789913148960. Its totient is φ = 37376041248000.

The previous prime is 120200333122063. The next prime is 120200333122109. The reversal of 120200333122100 is 1221333002021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200333122109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20043371 + ... + 25340429.

Almost surely, 2^{120200333122100} is an apocalyptic number.

120200333122100 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 120200333122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165894956574480).

120200333122100 is an abundant number, since it is smaller than the sum of its proper divisors (211589580026860).

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

120200333122100 is a wasteful number, since it uses less digits than its factorization.

120200333122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297519 (or 5297505 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120200333122100 its reverse (1221333002021), we get a palindrome (121421666124121).

The spelling of 120200333122100 in words is "one hundred twenty trillion, two hundred billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred".