200011012112101 has 8 divisors (see below), whose sum is σ = 211776855839640. Its totient is φ = 188245222837248.

The previous prime is 200011012112081. The next prime is 200011012112129. The reversal of 200011012112101 is 101211210110002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46807755201 + 199964204356900 = 216351^2 + 14140870^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 200011012112101 - 2⁴¹ = 197811988856549 is a prime.

It is a super-2 number, since 2×200011012112101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200011012212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5926866 + ... + 20860243.

It is an arithmetic number, because the mean of its divisors is an integer number (26472106979955).

Almost surely, 2^{200011012112101} is an apocalyptic number.

It is an amenable number.

200011012112101 is a deficient number, since it is larger than the sum of its proper divisors (11765843727539).

200011012112101 is a wasteful number, since it uses less digits than its factorization.

200011012112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27226343.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 200011012112101 its reverse (101211210110002), we get a palindrome (301222222222103).

The spelling of 200011012112101 in words is "two hundred trillion, eleven billion, twelve million, one hundred twelve thousand, one hundred one".