221102122211120 has 40 divisors (see below), whose sum is σ = 514594039733664. Its totient is φ = 88349389857792.

The previous prime is 221102122210939. The next prime is 221102122211143. The reversal of 221102122211120 is 21112221201122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×221102122211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221102122211092 and 221102122211101.

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, 1428969449 + ... + 1429124168.

Almost surely, 2^{221102122211120} is an apocalyptic number.

221102122211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102122211120 is an abundant number, since it is smaller than the sum of its proper divisors (293491917522544).

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

221102122211120 is a wasteful number, since it uses less digits than its factorization.

221102122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858094597 (or 2858094591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221102122211120 its reverse (21112221201122), we get a palindrome (242214343412242).

The spelling of 221102122211120 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".