10002020101000 has 32 divisors (see below), whose sum is σ = 23404727038680. Its totient is φ = 4000808040000.

The previous prime is 10002020100983. The next prime is 10002020101009. The reversal of 10002020101000 is 10102020001.

It can be written as a sum of positive squares in 4 ways, for example, as 6621121507716 + 3380898593284 = 2573154^2 + 1838722^2 .

It is a super-2 number, since 2×10002020101000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002020101009) 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, 5001009051 + ... + 5001011050.

Almost surely, 2^{10002020101000} is an apocalyptic number.

10002020101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002020101000 is an abundant number, since it is smaller than the sum of its proper divisors (13402706937680).

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

10002020101000 is a wasteful number, since it uses less digits than its factorization.

10002020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002020122 (or 10002020108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002020101000 its reverse (10102020001), we get a palindrome (10012122121001).

The spelling of 10002020101000 in words is "ten trillion, two billion, twenty million, one hundred one thousand".