1022100222000 has 640 divisors, whose sum is σ = 3891638919168. Its totient is φ = 227523072000.

The previous prime is 1022100221981. The next prime is 1022100222067. The reversal of 1022100222000 is 2220012201.

It is a super-3 number, since 3×1022100222000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169022977 + ... + 169029023.

Almost surely, 2^{1022100222000} is an apocalyptic number.

1022100222000 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 1022100222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945819459584).

1022100222000 is an abundant number, since it is smaller than the sum of its proper divisors (2869538697168).

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

1022100222000 is a wasteful number, since it uses less digits than its factorization.

1022100222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022100222000 its reverse (2220012201), we get a palindrome (1024320234201).

The spelling of 1022100222000 in words is "one trillion, twenty-two billion, one hundred million, two hundred twenty-two thousand".