10022211321120 has 72 divisors (see below), whose sum is σ = 34200796138236. Its totient is φ = 2672589685248.

The previous prime is 10022211321119. The next prime is 10022211321131. The reversal of 10022211321120 is 2112311222001.

10022211321120 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 221 + 1 + 321 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9835825708944 + 186385612176 = 3136212^2 + 431724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 10022211321093 and 10022211321102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3479933047 + ... + 3479935926.

Almost surely, 2^{10022211321120} is an apocalyptic number.

10022211321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022211321120 is an abundant number, since it is smaller than the sum of its proper divisors (24178584817116).

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

10022211321120 is a wasteful number, since it uses less digits than its factorization.

10022211321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959868994 (or 6959868983 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10022211321120 its reverse (2112311222001), we get a palindrome (12134522543121).

The spelling of 10022211321120 in words is "ten trillion, twenty-two billion, two hundred eleven million, three hundred twenty-one thousand, one hundred twenty".