221101121010000 has 1600 divisors, whose sum is σ = 901207839578112. Its totient is φ = 45360000000000.

The previous prime is 221101121009969. The next prime is 221101121010079. The reversal of 221101121010000 is 10121101122.

221101121010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 98223508875 + ... + 98223511125.

Almost surely, 2^{221101121010000} is an apocalyptic number.

221101121010000 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 221101121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450603919789056).

221101121010000 is an abundant number, since it is smaller than the sum of its proper divisors (680106718568112).

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

221101121010000 is a wasteful number, since it uses less digits than its factorization.

221101121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221101121010000 its reverse (10121101122), we get a palindrome (221111242111122).

The spelling of 221101121010000 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred twenty-one million, ten thousand".