122120102012100 has 144 divisors (see below), whose sum is σ = 368828676787200. Its totient is φ = 31138309699200.

The previous prime is 122120102012089. The next prime is 122120102012101. The reversal of 122120102012100 is 1210201021221.

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 122120102012100.

It is not an unprimeable number, because it can be changed into a prime (122120102012101) 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, 16087251 + ... + 22428549.

Almost surely, 2^{122120102012100} is an apocalyptic number.

122120102012100 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 122120102012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184414338393600).

122120102012100 is an abundant number, since it is smaller than the sum of its proper divisors (246708574775100).

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

122120102012100 is a wasteful number, since it uses less digits than its factorization.

122120102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344130 (or 6344123 counting only the distinct ones).

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

Adding to 122120102012100 its reverse (1210201021221), we get a palindrome (123330303033321).

The spelling of 122120102012100 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred two million, twelve thousand, one hundred".