100100020120122 has 128 divisors (see below), whose sum is σ = 223920702720000. Its totient is φ = 29569400340480.

The previous prime is 100100020120109. The next prime is 100100020120127. The reversal of 100100020120122 is 221021020001001.

It is a junction number, because it is equal to n+sod(n) for n = 100100020120098 and 100100020120107.

It is not an unprimeable number, because it can be changed into a prime (100100020120127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7291130154 + ... + 7291143882.

It is an arithmetic number, because the mean of its divisors is an integer number (1749380490000).

Almost surely, 2^{100100020120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100020120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111960351360000).

100100020120122 is an abundant number, since it is smaller than the sum of its proper divisors (123820682599878).

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

100100020120122 is a wasteful number, since it uses less digits than its factorization.

100100020120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18676.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100100020120122 its reverse (221021020001001), we get a palindrome (321121040121123).

The spelling of 100100020120122 in words is "one hundred trillion, one hundred billion, twenty million, one hundred twenty thousand, one hundred twenty-two".