1022010122120 has 32 divisors (see below), whose sum is σ = 2476409143320. Its totient is φ = 377357583360.

The previous prime is 1022010122083. The next prime is 1022010122171. The reversal of 1022010122120 is 212210102201.

It can be written as a sum of positive squares in 4 ways, for example, as 894662489956 + 127347632164 = 945866^2 + 356858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022010122095 and 1022010122104.

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 7 ways as a sum of consecutive naturals, for example, 982701521 + ... + 982702560.

Almost surely, 2^{1022010122120} is an apocalyptic number.

1022010122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022010122120 is an abundant number, since it is smaller than the sum of its proper divisors (1454399021200).

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

1022010122120 is a wasteful number, since it uses less digits than its factorization.

1022010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965404105 (or 1965404101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022010122120 its reverse (212210102201), we get a palindrome (1234220224321).

The spelling of 1022010122120 in words is "one trillion, twenty-two billion, ten million, one hundred twenty-two thousand, one hundred twenty".