10010120110100 has 144 divisors (see below), whose sum is σ = 23948500697856. Its totient is φ = 3601414080000.

The previous prime is 10010120110097. The next prime is 10010120110103. The reversal of 10010120110100 is 101102101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010120110097) and next prime (10010120110103).

It is a super-2 number, since 2×10010120110100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010120110103) 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 47 ways as a sum of consecutive naturals, for example, 158063642 + ... + 158126958.

It is an arithmetic number, because the mean of its divisors is an integer number (166309032624).

Almost surely, 2^{10010120110100} is an apocalyptic number.

10010120110100 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 10010120110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974250348928).

10010120110100 is an abundant number, since it is smaller than the sum of its proper divisors (13938380587756).

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

10010120110100 is a wasteful number, since it uses less digits than its factorization.

10010120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64866 (or 64859 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010120110100 its reverse (101102101001), we get a palindrome (10111222211101).

The spelling of 10010120110100 in words is "ten trillion, ten billion, one hundred twenty million, one hundred ten thousand, one hundred".