2101101021222 has 256 divisors, whose sum is σ = 5182341120000. Its totient is φ = 566541537408.

The previous prime is 2101101021181. The next prime is 2101101021233. The reversal of 2101101021222 is 2221201011012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1460111179 + ... + 1460112617.

It is an arithmetic number, because the mean of its divisors is an integer number (20243520000).

Almost surely, 2^{2101101021222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101101021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591170560000).

2101101021222 is an abundant number, since it is smaller than the sum of its proper divisors (3081240098778).

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

2101101021222 is a wasteful number, since it uses less digits than its factorization.

2101101021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101101021222 its reverse (2221201011012), we get a palindrome (4322302032234).

The spelling of 2101101021222 in words is "two trillion, one hundred one billion, one hundred one million, twenty-one thousand, two hundred twenty-two".