211010100100011 has 64 divisors (see below), whose sum is σ = 324780248432640. Its totient is φ = 135255214726560.

The previous prime is 211010100099961. The next prime is 211010100100013. The reversal of 211010100100011 is 110001001010112.

It is not a de Polignac number, because 211010100100011 - 2¹⁵ = 211010100067243 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 = 211010100099966 and 211010100100002.

It is not an unprimeable number, because it can be changed into a prime (211010100100013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290797296 + ... + 291522018.

It is an arithmetic number, because the mean of its divisors is an integer number (5074691381760).

Almost surely, 2^{211010100100011} is an apocalyptic number.

211010100100011 is a deficient number, since it is larger than the sum of its proper divisors (113770148332629).

211010100100011 is a wasteful number, since it uses less digits than its factorization.

211010100100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727013 (or 727007 counting only the distinct ones).

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

Adding to 211010100100011 its reverse (110001001010112), we get a palindrome (321011101110123).

The spelling of 211010100100011 in words is "two hundred eleven trillion, ten billion, one hundred million, one hundred thousand, eleven".