10011122000010 has 48 divisors (see below), whose sum is σ = 26395521684480. Its totient is φ = 2632032073440.

The previous prime is 10011121999979. The next prime is 10011122000017. The reversal of 10011122000010 is 1000022111001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011121999956 and 10011122000001.

It is not an unprimeable number, because it can be changed into a prime (10011122000017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783336490 + ... + 783349269.

It is an arithmetic number, because the mean of its divisors is an integer number (549906701760).

Almost surely, 2^{10011122000010} is an apocalyptic number.

10011122000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011122000010 is an abundant number, since it is smaller than the sum of its proper divisors (16384399684470).

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

10011122000010 is a wasteful number, since it uses less digits than its factorization.

10011122000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566685843 (or 1566685840 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011122000010 its reverse (1000022111001), we get a palindrome (11011144111011).

The spelling of 10011122000010 in words is "ten trillion, eleven billion, one hundred twenty-two million, ten", and thus it is an aban number.