1001122010020 has 72 divisors (see below), whose sum is σ = 2311196126904. Its totient is φ = 363990528000.

The previous prime is 1001122010011. The next prime is 1001122010023. The reversal of 1001122010020 is 200102211001.

It can be written as a sum of positive squares in 4 ways, for example, as 58809160036 + 942312849984 = 242506^2 + 970728^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1001122009979 and 1001122010006.

It is not an unprimeable number, because it can be changed into a prime (1001122010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18706500 + ... + 18759940.

It is an arithmetic number, because the mean of its divisors is an integer number (32099946207).

Almost surely, 2^{1001122010020} is an apocalyptic number.

1001122010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122010020 is an abundant number, since it is smaller than the sum of its proper divisors (1310074116884).

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

1001122010020 is a wasteful number, since it uses less digits than its factorization.

1001122010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61213 (or 61200 counting only the distinct ones).

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

Adding to 1001122010020 its reverse (200102211001), we get a palindrome (1201224221021).

The spelling of 1001122010020 in words is "one trillion, one billion, one hundred twenty-two million, ten thousand, twenty".