2221101090 has 192 divisors, whose sum is σ = 6415718400. Its totient is φ = 532861056.

The previous prime is 2221101089. The next prime is 2221101101. The reversal of 2221101090 is 901011222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9293191 + ... + 9293429.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^2221101090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221101090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207859200).

2221101090 is an abundant number, since it is smaller than the sum of its proper divisors (4194617310).

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

2221101090 is a wasteful number, since it uses less digits than its factorization.

2221101090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2221101090 is about 47128.5591759392. The cubic root of 2221101090 is about 1304.7363892608.

The spelling of 2221101090 in words is "two billion, two hundred twenty-one million, one hundred one thousand, ninety".