10022211120 has 80 divisors (see below), whose sum is σ = 31095009792. Its totient is φ = 2670339840.

The previous prime is 10022211103. The next prime is 10022211137. The reversal of 10022211120 is 2111222001.

10022211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022211103) and next prime (10022211137).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10022211096 and 10022211105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278479 + ... + 312401.

Almost surely, 2^10022211120 is an apocalyptic number.

10022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022211120 is an abundant number, since it is smaller than the sum of its proper divisors (21072798672).

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

10022211120 is a wasteful number, since it uses less digits than its factorization.

10022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35170 (or 35164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022211120 its reverse (2111222001), we get a palindrome (12133433121).

It can be divided in two parts, 1002 and 2211120, that added together give a palindrome (2212122).

The spelling of 10022211120 in words is "ten billion, twenty-two million, two hundred eleven thousand, one hundred twenty".