221220011021000 has 128 divisors (see below), whose sum is σ = 521938482904800. Its totient is φ = 87758762803200.

The previous prime is 221220011020933. The next prime is 221220011021003. The reversal of 221220011021000 is 120110022122.

It can be written as a sum of positive squares in 16 ways, for example, as 8091487458916 + 213128523562084 = 2844554^2 + 14598922^2 .

It is a super-3 number, since 3×221220011021000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (221220011021003) 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, 56973572 + ... + 60732428.

Almost surely, 2^{221220011021000} is an apocalyptic number.

221220011021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221220011021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260969241452400).

221220011021000 is an abundant number, since it is smaller than the sum of its proper divisors (300718471883800).

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

221220011021000 is a wasteful number, since it uses less digits than its factorization.

221220011021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759364 (or 3759350 counting only the distinct ones).

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

Adding to 221220011021000 its reverse (120110022122), we get a palindrome (221340121043122).

The spelling of 221220011021000 in words is "two hundred twenty-one trillion, two hundred twenty billion, eleven million, twenty-one thousand".