200101010001111 has 24 divisors (see below), whose sum is σ = 291867774198000. Its totient is φ = 132094664479872.

The previous prime is 200101010001103. The next prime is 200101010001131. The reversal of 200101010001111 is 111100010101002.

It is not a de Polignac number, because 200101010001111 - 2³ = 200101010001103 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 = 200101010001093 and 200101010001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101010001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61807701 + ... + 64964558.

It is an arithmetic number, because the mean of its divisors is an integer number (12161157258250).

Almost surely, 2^{200101010001111} is an apocalyptic number.

200101010001111 is a deficient number, since it is larger than the sum of its proper divisors (91766764196889).

200101010001111 is a wasteful number, since it uses less digits than its factorization.

200101010001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126773983 (or 126773980 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 200101010001111 its reverse (111100010101002), we get a palindrome (311201020102113).

The spelling of 200101010001111 in words is "two hundred trillion, one hundred one billion, ten million, one thousand, one hundred eleven".