10002211121120 has 48 divisors (see below), whose sum is σ = 23655176849808. Its totient is φ = 3996659589120.

The previous prime is 10002211121059. The next prime is 10002211121153. The reversal of 10002211121120 is 2112111220001.

It is a super-2 number, since 2×10002211121120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002211121095 and 10002211121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32854721 + ... + 33157760.

It is an arithmetic number, because the mean of its divisors is an integer number (492816184371).

Almost surely, 2^{10002211121120} is an apocalyptic number.

10002211121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002211121120 is an abundant number, since it is smaller than the sum of its proper divisors (13652965728688).

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

10002211121120 is an equidigital number, since it uses as much as digits as its factorization.

10002211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66013443 (or 66013435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10002211121120 its reverse (2112111220001), we get a palindrome (12114322341121).

The spelling of 10002211121120 in words is "ten trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".