221221011011020 has 24 divisors (see below), whose sum is σ = 467640706726368. Its totient is φ = 87902388480000.

The previous prime is 221221011010973. The next prime is 221221011011059. The reversal of 221221011011020 is 20110110122122.

221221011011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221221011011020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221221011010985 and 221221011011003.

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, 36625992181 + ... + 36625998220.

It is an arithmetic number, because the mean of its divisors is an integer number (19485029446932).

Almost surely, 2^{221221011011020} is an apocalyptic number.

221221011011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221011011020 is an abundant number, since it is smaller than the sum of its proper divisors (246419695715348).

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

221221011011020 is a wasteful number, since it uses less digits than its factorization.

221221011011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73251990561 (or 73251990559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221221011011020 its reverse (20110110122122), we get a palindrome (241331121133142).

The spelling of 221221011011020 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, eleven million, eleven thousand, twenty".