100010120122120 has 128 divisors (see below), whose sum is σ = 244612720044000. Its totient is φ = 36580636975104.

The previous prime is 100010120122103. The next prime is 100010120122123. The reversal of 100010120122120 is 21221021010001.

It can be written as a sum of positive squares in 16 ways, for example, as 2186666072644 + 97823454049476 = 1478738^2 + 9890574^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100010120122120.

It is not an unprimeable number, because it can be changed into a prime (100010120122123) 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, 27169764 + ... + 30630316.

Almost surely, 2^{100010120122120} is an apocalyptic number.

100010120122120 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 100010120122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122306360022000).

100010120122120 is an abundant number, since it is smaller than the sum of its proper divisors (144602599921880).

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

100010120122120 is a wasteful number, since it uses less digits than its factorization.

100010120122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461099 (or 3461095 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100010120122120 its reverse (21221021010001), we get a palindrome (121231141132121).

The spelling of 100010120122120 in words is "one hundred trillion, ten billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".