221000112121000 has 128 divisors (see below), whose sum is σ = 543246271776000. Its totient is φ = 83989069612800.

The previous prime is 221000112120947. The next prime is 221000112121003. The reversal of 221000112121000 is 121211000122.

It is a super-2 number, since 2×221000112121000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221000112121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28816962 + ... + 35670961.

It is an arithmetic number, because the mean of its divisors is an integer number (4244111498250).

Almost surely, 2^{221000112121000} is an apocalyptic number.

221000112121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000112121000 is an abundant number, since it is smaller than the sum of its proper divisors (322246159655000).

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

221000112121000 is a wasteful number, since it uses less digits than its factorization.

221000112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64488116 (or 64488102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221000112121000 its reverse (121211000122), we get a palindrome (221121323121122).

The spelling of 221000112121000 in words is "two hundred twenty-one trillion, one hundred twelve million, one hundred twenty-one thousand".