20001000121011 has 72 divisors (see below), whose sum is σ = 38321244116064. Its totient is φ = 9929391091200.

The previous prime is 20001000120949. The next prime is 20001000121019. The reversal of 20001000121011 is 11012100010002.

It is a happy number.

It is not a de Polignac number, because 20001000121011 - 2⁹ = 20001000120499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001000120984 and 20001000121002.

It is not an unprimeable number, because it can be changed into a prime (20001000121019) 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 71 ways as a sum of consecutive naturals, for example, 102512815 + ... + 102707736.

It is an arithmetic number, because the mean of its divisors is an integer number (532239501612).

Almost surely, 2^{20001000121011} is an apocalyptic number.

20001000121011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20001000121011 is a deficient number, since it is larger than the sum of its proper divisors (18320243995053).

20001000121011 is a wasteful number, since it uses less digits than its factorization.

20001000121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205220601 (or 205220591 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20001000121011 its reverse (11012100010002), we get a palindrome (31013100131013).

The spelling of 20001000121011 in words is "twenty trillion, one billion, one hundred twenty-one thousand, eleven".