10010121110100 has 180 divisors, whose sum is σ = 32813454296700. Its totient is φ = 2639372567040.

The previous prime is 10010121110053. The next prime is 10010121110107. The reversal of 10010121110100 is 101112101001.

It can be written as a sum of positive squares in 6 ways, for example, as 1154223625104 + 8855897484996 = 1074348^2 + 2975886^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010121110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6221895 + ... + 7663694.

It is an arithmetic number, because the mean of its divisors is an integer number (182296968315).

Almost surely, 2^{10010121110100} is an apocalyptic number.

10010121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010121110100 is an abundant number, since it is smaller than the sum of its proper divisors (22803333186600).

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

10010121110100 is a wasteful number, since it uses less digits than its factorization.

10010121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885704 (or 13885688 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010121110100 its reverse (101112101001), we get a palindrome (10111233211101).

Subtracting from 10010121110100 its reverse (101112101001), we obtain a palindrome (9909009009099).

It can be divided in two parts, 1001012 and 1110100, that added together give a palindrome (2111112).

The spelling of 10010121110100 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred ten thousand, one hundred".