201011120021000 has 32 divisors (see below), whose sum is σ = 470366020851480. Its totient is φ = 80404448008000.

The previous prime is 201011120020993. The next prime is 201011120021003. The reversal of 201011120021000 is 120021110102.

It can be written as a sum of positive squares in 4 ways, for example, as 25017943218436 + 175993176802564 = 5001794^2 + 13266242^2 .

It is not an unprimeable number, because it can be changed into a prime (201011120021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100505559011 + ... + 100505561010.

Almost surely, 2^{201011120021000} is an apocalyptic number.

201011120021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011120021000 is an abundant number, since it is smaller than the sum of its proper divisors (269354900830480).

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

201011120021000 is a wasteful number, since it uses less digits than its factorization.

201011120021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201011120042 (or 201011120028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201011120021000 its reverse (120021110102), we get a palindrome (201131141131102).

The spelling of 201011120021000 in words is "two hundred one trillion, eleven billion, one hundred twenty million, twenty-one thousand".