1022102212120 has 128 divisors (see below), whose sum is σ = 2531158087680. Its totient is φ = 371434377600.

The previous prime is 1022102212091. The next prime is 1022102212133. The reversal of 1022102212120 is 212122012201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1022102212094 and 1022102212103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97051255 + ... + 97061785.

It is an arithmetic number, because the mean of its divisors is an integer number (19774672560).

Almost surely, 2^{1022102212120} is an apocalyptic number.

1022102212120 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 1022102212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265579043840).

1022102212120 is an abundant number, since it is smaller than the sum of its proper divisors (1509055875560).

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

1022102212120 is a wasteful number, since it uses less digits than its factorization.

1022102212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022102212120 its reverse (212122012201), we get a palindrome (1234224224321).

The spelling of 1022102212120 in words is "one trillion, twenty-two billion, one hundred two million, two hundred twelve thousand, one hundred twenty".