10010001001122 has 48 divisors (see below), whose sum is σ = 21708463712832. Its totient is φ = 3333571731360.

The previous prime is 10010001001111. The next prime is 10010001001127. The reversal of 10010001001122 is 22110010001001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10010001001127) 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 23 ways as a sum of consecutive naturals, for example, 90729472 + ... + 90839732.

It is an arithmetic number, because the mean of its divisors is an integer number (452259660684).

Almost surely, 2^{10010001001122} is an apocalyptic number.

10010001001122 is an abundant number, since it is smaller than the sum of its proper divisors (11698462711710).

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

10010001001122 is a wasteful number, since it uses less digits than its factorization.

10010001001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114903 (or 114900 counting only the distinct ones).

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

Adding to 10010001001122 its reverse (22110010001001), we get a palindrome (32120011002123).

The spelling of 10010001001122 in words is "ten trillion, ten billion, one million, one thousand, one hundred twenty-two".