202011001001000 has 64 divisors (see below), whose sum is σ = 472720673814480. Its totient is φ = 80801848012800.

The previous prime is 202011001000997. The next prime is 202011001001083. The reversal of 202011001001000 is 100100110202.

It can be written as a sum of positive squares in 8 ways, for example, as 9497651494276 + 192513349506724 = 3081826^2 + 13874918^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28642424 + ... + 34991576.

Almost surely, 2^{202011001001000} is an apocalyptic number.

202011001001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202011001001000 is an abundant number, since it is smaller than the sum of its proper divisors (270709672813480).

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

202011001001000 is a wasteful number, since it uses less digits than its factorization.

202011001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380991 (or 6380977 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 202011001001000 its reverse (100100110202), we get a palindrome (202111101111202).

The spelling of 202011001001000 in words is "two hundred two trillion, eleven billion, one million, one thousand".