1022100012 has 96 divisors (see below), whose sum is σ = 2752780800. Its totient is φ = 327571776.

The previous prime is 1022100007. The next prime is 1022100031. The reversal of 1022100012 is 2100012201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022099967 and 1022100003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960993 + ... + 962055.

It is an arithmetic number, because the mean of its divisors is an integer number (28674800).

Almost surely, 2^1022100012 is an apocalyptic number.

1022100012 is a gapful number since it is divisible by the number (12) 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 1022100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376390400).

1022100012 is an abundant number, since it is smaller than the sum of its proper divisors (1730680788).

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

1022100012 is a wasteful number, since it uses less digits than its factorization.

1022100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022100012 is about 31970.2989038263. The cubic root of 1022100012 is about 1007.3130594585.

Adding to 1022100012 its reverse (2100012201), we get a palindrome (3122112213).

The spelling of 1022100012 in words is "one billion, twenty-two million, one hundred thousand, twelve".