221121011212100 has 36 divisors (see below), whose sum is σ = 479833440191700. Its totient is φ = 88448248565760.

The previous prime is 221121011212099. The next prime is 221121011212109. The reversal of 221121011212100 is 1212110121122.

It can be written as a sum of positive squares in 6 ways, for example, as 7574461726276 + 213546549485824 = 2752174^2 + 14613232^2 .

It is a super-2 number, since 2×221121011212100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221121011212109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67304456 + ... + 70513344.

Almost surely, 2^{221121011212100} is an apocalyptic number.

221121011212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121011212100 is an abundant number, since it is smaller than the sum of its proper divisors (258712428979600).

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

221121011212100 is a wasteful number, since it uses less digits than its factorization.

221121011212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897992 (or 3897985 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221121011212100 its reverse (1212110121122), we get a palindrome (222333121333222).

The spelling of 221121011212100 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, eleven million, two hundred twelve thousand, one hundred".