21101010100011 has 40 divisors (see below), whose sum is σ = 31540388227920. Its totient is φ = 14058806902272.

The previous prime is 21101010100003. The next prime is 21101010100019. The reversal of 21101010100011 is 11000101010112.

It is an interprime number because it is at equal distance from previous prime (21101010100003) and next prime (21101010100019).

It is not a de Polignac number, because 21101010100011 - 2³ = 21101010100003 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 = 21101010099966 and 21101010100002.

It is not an unprimeable number, because it can be changed into a prime (21101010100019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1921937320 + ... + 1921948298.

It is an arithmetic number, because the mean of its divisors is an integer number (788509705698).

Almost surely, 2^{21101010100011} is an apocalyptic number.

21101010100011 is a deficient number, since it is larger than the sum of its proper divisors (10439378127909).

21101010100011 is a wasteful number, since it uses less digits than its factorization.

21101010100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23225 (or 23216 counting only the distinct ones).

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

Adding to 21101010100011 its reverse (11000101010112), we get a palindrome (32101111110123).

The spelling of 21101010100011 in words is "twenty-one trillion, one hundred one billion, ten million, one hundred thousand, eleven".