1022121200100 has 1152 divisors, whose sum is σ = 4141886902272. Its totient is φ = 187768627200.

The previous prime is 1022121200077. The next prime is 1022121200123. The reversal of 1022121200100 is 10021212201.

It is an interprime number because it is at equal distance from previous prime (1022121200077) and next prime (1022121200123).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 744443014 + ... + 744444386.

It is an arithmetic number, because the mean of its divisors is an integer number (3595387936).

Almost surely, 2^{1022121200100} is an apocalyptic number.

1022121200100 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 1022121200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070943451136).

1022121200100 is an abundant number, since it is smaller than the sum of its proper divisors (3119765702172).

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

1022121200100 is a wasteful number, since it uses less digits than its factorization.

1022121200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022121200100 its reverse (10021212201), we get a palindrome (1032142412301).

It can be divided in two parts, 1022121 and 200100, that added together give a palindrome (1222221).

The spelling of 1022121200100 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred thousand, one hundred".