221000021101220 has 48 divisors (see below), whose sum is σ = 466658339590128. Its totient is φ = 87913015787520.

The previous prime is 221000021101217. The next prime is 221000021101261. The reversal of 221000021101220 is 22101120000122.

221000021101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 55103806564 + 220944917294656 = 234742^2 + 14864216^2 .

It is a super-2 number, since 2×221000021101220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221000021101195 and 221000021101204.

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, 2296760 + ... + 21148880.

It is an arithmetic number, because the mean of its divisors is an integer number (9722048741461).

Almost surely, 2^{221000021101220} is an apocalyptic number.

221000021101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000021101220 is an abundant number, since it is smaller than the sum of its proper divisors (245658318488908).

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

221000021101220 is a wasteful number, since it uses less digits than its factorization.

221000021101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18855360 (or 18855358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221000021101220 its reverse (22101120000122), we get a palindrome (243101141101342).

The spelling of 221000021101220 in words is "two hundred twenty-one trillion, twenty-one million, one hundred one thousand, two hundred twenty".