21010101010011 has 12 divisors (see below), whose sum is σ = 30347995259400. Its totient is φ = 14006700970560.

The previous prime is 21010101009973. The next prime is 21010101010051. The reversal of 21010101010011 is 11001010101012.

It is not a de Polignac number, because 21010101010011 - 2¹⁴ = 21010100993627 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 = 21010101009975 and 21010101010002.

It is not an unprimeable number, because it can be changed into a prime (21010101010051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1644531 + ... + 6687651.

It is an arithmetic number, because the mean of its divisors is an integer number (2528999604950).

Almost surely, 2^{21010101010011} is an apocalyptic number.

21010101010011 is a deficient number, since it is larger than the sum of its proper divisors (9337894249389).

21010101010011 is a wasteful number, since it uses less digits than its factorization.

21010101010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506026 (or 5506023 counting only the distinct ones).

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

Adding to 21010101010011 its reverse (11001010101012), we get a palindrome (32011111111023).

The spelling of 21010101010011 in words is "twenty-one trillion, ten billion, one hundred one million, ten thousand, eleven".