1001101100211 has 24 divisors (see below), whose sum is σ = 1449669770640. Its totient is φ = 665723520000.

The previous prime is 1001101100201. The next prime is 1001101100273. The reversal of 1001101100211 is 1120011011001.

It is not a de Polignac number, because 1001101100211 - 2⁵ = 1001101100179 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 = 1001101100193 and 1001101100202.

It is not an unprimeable number, because it can be changed into a prime (1001101100201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47658711 + ... + 47679711.

It is an arithmetic number, because the mean of its divisors is an integer number (60402907110).

Almost surely, 2^{1001101100211} is an apocalyptic number.

1001101100211 is a deficient number, since it is larger than the sum of its proper divisors (448568670429).

1001101100211 is a wasteful number, since it uses less digits than its factorization.

1001101100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34067 (or 34064 counting only the distinct ones).

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

Adding to 1001101100211 its reverse (1120011011001), we get a palindrome (2121112111212).

The spelling of 1001101100211 in words is "one trillion, one billion, one hundred one million, one hundred thousand, two hundred eleven".