11201011010211 has 32 divisors (see below), whose sum is σ = 16898384860416. Its totient is φ = 6539622480000.

The previous prime is 11201011010201. The next prime is 11201011010221.

11201011010211 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11201011010201) and next prime (11201011010221).

It is not a de Polignac number, because 11201011010211 - 2⁷ = 11201011010083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11201011010201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45290725 + ... + 45537366.

It is an arithmetic number, because the mean of its divisors is an integer number (528074526888).

Almost surely, 2^{11201011010211} is an apocalyptic number.

11201011010211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11201011010211 is a deficient number, since it is larger than the sum of its proper divisors (5697373850205).

11201011010211 is a wasteful number, since it uses less digits than its factorization.

11201011010211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90828243.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1120101 and 1010211, that multiplied together give a palindrome (1131538351311).

The spelling of 11201011010211 in words is "eleven trillion, two hundred one billion, eleven million, ten thousand, two hundred eleven".