221112122011020 has 48 divisors (see below), whose sum is σ = 687904379591520. Its totient is φ = 58963232536128.

The previous prime is 221112122011003. The next prime is 221112122011087. The reversal of 221112122011020 is 20110221211122.

221112122011020 is a `hidden beast` number, since 2 + 211 + 121 + 220 + 110 + 2 + 0 = 666.

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 = 221112122010984 and 221112122011002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204733445767 + ... + 204733446846.

It is an arithmetic number, because the mean of its divisors is an integer number (14331341241490).

Almost surely, 2^{221112122011020} is an apocalyptic number.

221112122011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112122011020 is an abundant number, since it is smaller than the sum of its proper divisors (466792257580500).

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

221112122011020 is a wasteful number, since it uses less digits than its factorization.

221112122011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409466892631 (or 409466892623 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221112122011020 its reverse (20110221211122), we get a palindrome (241222343222142).

The spelling of 221112122011020 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, eleven thousand, twenty".