10012122001100 has 36 divisors (see below), whose sum is σ = 21726697777344. Its totient is φ = 4004776351680.

The previous prime is 10012122001097. The next prime is 10012122001109. The reversal of 10012122001100 is 110022121001.

10012122001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10012122001109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4830629 + ... + 6584771.

It is an arithmetic number, because the mean of its divisors is an integer number (603519382704).

Almost surely, 2^{10012122001100} is an apocalyptic number.

10012122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012122001100 is an abundant number, since it is smaller than the sum of its proper divisors (11714575776244).

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

10012122001100 is a wasteful number, since it uses less digits than its factorization.

10012122001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811234 (or 1811227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10012122001100 its reverse (110022121001), we get a palindrome (10122144122101).

The spelling of 10012122001100 in words is "ten trillion, twelve billion, one hundred twenty-two million, one thousand, one hundred".