1022101112220 has 576 divisors, whose sum is σ = 3229100163072. Its totient is φ = 241118208000.

The previous prime is 1022101112203. The next prime is 1022101112303. The reversal of 1022101112220 is 222111012201.

It is a super-3 number, since 3×1022101112220³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022101112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3771590685 + ... + 3771590955.

It is an arithmetic number, because the mean of its divisors is an integer number (5606076672).

Almost surely, 2^{1022101112220} is an apocalyptic number.

1022101112220 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 1022101112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614550081536).

1022101112220 is an abundant number, since it is smaller than the sum of its proper divisors (2206999050852).

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

1022101112220 is a wasteful number, since it uses less digits than its factorization.

1022101112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

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

Adding to 1022101112220 its reverse (222111012201), we get a palindrome (1244212124421).

The spelling of 1022101112220 in words is "one trillion, twenty-two billion, one hundred one million, one hundred twelve thousand, two hundred twenty".