10033001221122 has 48 divisors (see below), whose sum is σ = 23746986349632. Its totient is φ = 3036121371360.

The previous prime is 10033001221109. The next prime is 10033001221193. The reversal of 10033001221122 is 22112210033001.

10033001221122 is a `hidden beast` number, since 100 + 330 + 0 + 1 + 2 + 211 + 22 = 666.

It is a super-2 number, since 2×10033001221122² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10033001221095 and 10033001221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34705933 + ... + 34993824.

It is an arithmetic number, because the mean of its divisors is an integer number (494728882284).

Almost surely, 2^{10033001221122} is an apocalyptic number.

10033001221122 is an abundant number, since it is smaller than the sum of its proper divisors (13713985128510).

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

10033001221122 is a wasteful number, since it uses less digits than its factorization.

10033001221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69700503 (or 69700500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10033001221122 its reverse (22112210033001), we get a palindrome (32145211254123).

The spelling of 10033001221122 in words is "ten trillion, thirty-three billion, one million, two hundred twenty-one thousand, one hundred twenty-two".