221102111000040 has 128 divisors (see below), whose sum is σ = 665146198056960. Its totient is φ = 58797035092224.

The previous prime is 221102111000039. The next prime is 221102111000053. The reversal of 221102111000040 is 40000111201122.

It is a super-2 number, since 2×221102111000040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 221102110999983 and 221102111000019.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992682367 + ... + 992905073.

It is an arithmetic number, because the mean of its divisors is an integer number (5196454672320).

Almost surely, 2^{221102111000040} is an apocalyptic number.

221102111000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102111000040 is an abundant number, since it is smaller than the sum of its proper divisors (444044087056920).

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

221102111000040 is a wasteful number, since it uses less digits than its factorization.

221102111000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245631 (or 245627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221102111000040 its reverse (40000111201122), we get a palindrome (261102222201162).

The spelling of 221102111000040 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred eleven million, forty", and thus it is an aban number.