1122020101000 has 64 divisors (see below), whose sum is σ = 2628997141680. Its totient is φ = 448214860800.

The previous prime is 1122020100997. The next prime is 1122020101043. The reversal of 1122020101000 is 1010202211.

It can be written as a sum of positive squares in 8 ways, for example, as 37327012804 + 1084693088196 = 193202^2 + 1041486^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15904 + ... + 1498096.

Almost surely, 2^{1122020101000} is an apocalyptic number.

1122020101000 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 1122020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314498570840).

1122020101000 is an abundant number, since it is smaller than the sum of its proper divisors (1506977040680).

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

1122020101000 is a wasteful number, since it uses less digits than its factorization.

1122020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482971 (or 1482957 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1122020101000 its reverse (1010202211), we get a palindrome (1123030303211).

The spelling of 1122020101000 in words is "one trillion, one hundred twenty-two billion, twenty million, one hundred one thousand".