1022122012100 has 216 divisors, whose sum is σ = 2635487568000. Its totient is φ = 342975548160.

The previous prime is 1022122012069. The next prime is 1022122012103. The reversal of 1022122012100 is 12102212201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1022122012103) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 66196181 + ... + 66211619.

Almost surely, 2^{1022122012100} is an apocalyptic number.

1022122012100 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 1022122012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317743784000).

1022122012100 is an abundant number, since it is smaller than the sum of its proper divisors (1613365555900).

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

1022122012100 is a wasteful number, since it uses less digits than its factorization.

1022122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755 (or 15741 counting only the distinct ones).

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

Adding to 1022122012100 its reverse (12102212201), we get a palindrome (1034224224301).

The spelling of 1022122012100 in words is "one trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred".