10222022211120 has 120 divisors (see below), whose sum is σ = 34334949345216. Its totient is φ = 2725396844544.

The previous prime is 10222022211103. The next prime is 10222022211161. The reversal of 10222022211120 is 2111222022201.

It is a happy number.

10222022211120 is a `hidden beast` number, since 102 + 220 + 2 + 221 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10222022211120² (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 = 10222022211093 and 10222022211102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2898912 + ... + 5371008.

Almost surely, 2^{10222022211120} is an apocalyptic number.

10222022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022211120 is an abundant number, since it is smaller than the sum of its proper divisors (24112927134096).

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

10222022211120 is a wasteful number, since it uses less digits than its factorization.

10222022211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477859 (or 2477850 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222022211120 its reverse (2111222022201), we get a palindrome (12333244233321).

The spelling of 10222022211120 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, two hundred eleven thousand, one hundred twenty".