2101001200011 has 48 divisors (see below), whose sum is σ = 3693565946304. Its totient is φ = 1123418621952.

The previous prime is 2101001199917. The next prime is 2101001200121. The reversal of 2101001200011 is 1100021001012.

It is a happy number.

It is not a de Polignac number, because 2101001200011 - 2⁹ = 2101001199499 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 = 2101001199966 and 2101001200002.

It is not an unprimeable number, because it can be changed into a prime (2101001200411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5484426 + ... + 5854991.

It is an arithmetic number, because the mean of its divisors is an integer number (76949290548).

Almost surely, 2^{2101001200011} is an apocalyptic number.

2101001200011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101001200011 is a deficient number, since it is larger than the sum of its proper divisors (1592564746293).

2101001200011 is a wasteful number, since it uses less digits than its factorization.

2101001200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339620 (or 11339617 counting only the distinct ones).

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

Adding to 2101001200011 its reverse (1100021001012), we get a palindrome (3201022201023).

The spelling of 2101001200011 in words is "two trillion, one hundred one billion, one million, two hundred thousand, eleven".