221100021010100 has 36 divisors (see below), whose sum is σ = 479791721887884. Its totient is φ = 88439146414080.

The previous prime is 221100021010097. The next prime is 221100021010133. The reversal of 221100021010100 is 1010120001122.

221100021010100 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 6 ways, for example, as 29354962392484 + 191745058617616 = 5418022^2 + 13847204^2 .

It is a super-2 number, since 2×221100021010100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414029 + ... + 21032628.

It is an arithmetic number, because the mean of its divisors is an integer number (13327547830219).

Almost surely, 2^{221100021010100} is an apocalyptic number.

221100021010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100021010100 is an abundant number, since it is smaller than the sum of its proper divisors (258691700877784).

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

221100021010100 is a wasteful number, since it uses less digits than its factorization.

221100021010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21549764 (or 21549757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221100021010100 its reverse (1010120001122), we get a palindrome (222110141011222).

The spelling of 221100021010100 in words is "two hundred twenty-one trillion, one hundred billion, twenty-one million, ten thousand, one hundred".