100010000122120 has 64 divisors (see below), whose sum is σ = 245491418088000. Its totient is φ = 36365446567680.

The previous prime is 100010000122073. The next prime is 100010000122121. The reversal of 100010000122120 is 21221000010001.

100010000122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100010000122120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100010000122097 and 100010000122106.

It is not an unprimeable number, because it can be changed into a prime (100010000122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080647 + ... + 14474473.

It is an arithmetic number, because the mean of its divisors is an integer number (3835803407625).

Almost surely, 2^{100010000122120} is an apocalyptic number.

100010000122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010000122120 is an abundant number, since it is smaller than the sum of its proper divisors (145481417965880).

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

100010000122120 is a wasteful number, since it uses less digits than its factorization.

100010000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413798 (or 11413794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010000122120 its reverse (21221000010001), we get a palindrome (121231000132121).

The spelling of 100010000122120 in words is "one hundred trillion, ten billion, one hundred twenty-two thousand, one hundred twenty".