100102220102120 has 128 divisors (see below), whose sum is σ = 240865955920800. Its totient is φ = 37308395520000.

The previous prime is 100102220102117. The next prime is 100102220102123. The reversal of 100102220102120 is 21201022201001.

100102220102120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100102220102117) and next prime (100102220102123).

It can be written as a sum of positive squares in 16 ways, for example, as 93379328236804 + 6722891865316 = 9663298^2 + 2592854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100102220102095 and 100102220102104.

It is not an unprimeable number, because it can be changed into a prime (100102220102123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679927076 + ... + 680074284.

Almost surely, 2^{100102220102120} is an apocalyptic number.

100102220102120 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 100102220102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120432977960400).

100102220102120 is an abundant number, since it is smaller than the sum of its proper divisors (140763735818680).

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

100102220102120 is a wasteful number, since it uses less digits than its factorization.

100102220102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157239 (or 157235 counting only the distinct ones).

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

Adding to 100102220102120 its reverse (21201022201001), we get a palindrome (121303242303121).

The spelling of 100102220102120 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, one hundred two thousand, one hundred twenty".