120222002102100 has 144 divisors (see below), whose sum is σ = 349560869172480. Its totient is φ = 31901099993600.

The previous prime is 120222002102089. The next prime is 120222002102101. The reversal of 120222002102100 is 1201200222021.

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 120222002102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222002102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65347429 + ... + 67161971.

It is an arithmetic number, because the mean of its divisors is an integer number (2427506035920).

Almost surely, 2^{120222002102100} is an apocalyptic number.

120222002102100 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 120222002102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174780434586240).

120222002102100 is an abundant number, since it is smaller than the sum of its proper divisors (229338867070380).

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

120222002102100 is a wasteful number, since it uses less digits than its factorization.

120222002102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815650 (or 1815643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120222002102100 its reverse (1201200222021), we get a palindrome (121423202324121).

The spelling of 120222002102100 in words is "one hundred twenty trillion, two hundred twenty-two billion, two million, one hundred two thousand, one hundred".