101222221000 has 64 divisors (see below), whose sum is σ = 237607933680. Its totient is φ = 40361036800.

The previous prime is 101222220997. The next prime is 101222221069. The reversal of 101222221000 is 122222101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20544635556 + 80677585444 = 143334^2 + 284038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157344 + ... + 476656.

Almost surely, 2^101222221000 is an apocalyptic number.

101222221000 is a gapful number since it is divisible by the number (10) 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 101222221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118803966840).

101222221000 is an abundant number, since it is smaller than the sum of its proper divisors (136385712680).

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

101222221000 is a wasteful number, since it uses less digits than its factorization.

101222221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319651 (or 319637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101222221000 its reverse (122222101), we get a palindrome (101344443101).

The spelling of 101222221000 in words is "one hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand".