120200022112100 has 216 divisors, whose sum is σ = 299719874825280. Its totient is φ = 40988073853440.

The previous prime is 120200022112099. The next prime is 120200022112109. The reversal of 120200022112100 is 1211220002021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (120200022112109) 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, 35912762627 + ... + 35912765973.

It is an arithmetic number, because the mean of its divisors is an integer number (1387592013080).

Almost surely, 2^{120200022112100} is an apocalyptic number.

120200022112100 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 120200022112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149859937412640).

120200022112100 is an abundant number, since it is smaller than the sum of its proper divisors (179519852713180).

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

120200022112100 is a wasteful number, since it uses less digits than its factorization.

120200022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120200022112100 its reverse (1211220002021), we get a palindrome (121411242114121).

The spelling of 120200022112100 in words is "one hundred twenty trillion, two hundred billion, twenty-two million, one hundred twelve thousand, one hundred".