1001011022020 has 24 divisors (see below), whose sum is σ = 2105228231064. Its totient is φ = 399812964096.

The previous prime is 1001011021993. The next prime is 1001011022023. The reversal of 1001011022020 is 202201101001.

It can be written as a sum of positive squares in 4 ways, for example, as 106704142336 + 894306879684 = 326656^2 + 945678^2 .

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 = 1001011021988 and 1001011022006.

It is not an unprimeable number, because it can be changed into a prime (1001011022023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36951417 + ... + 36978496.

It is an arithmetic number, because the mean of its divisors is an integer number (87717842961).

Almost surely, 2^{1001011022020} is an apocalyptic number.

1001011022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001011022020 is an abundant number, since it is smaller than the sum of its proper divisors (1104217209044).

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

1001011022020 is a wasteful number, since it uses less digits than its factorization.

1001011022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73930599 (or 73930597 counting only the distinct ones).

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

Adding to 1001011022020 its reverse (202201101001), we get a palindrome (1203212123021).

The spelling of 1001011022020 in words is "one trillion, one billion, eleven million, twenty-two thousand, twenty".