21011101100110 has 256 divisors, whose sum is σ = 43584355584000. Its totient is φ = 7222453862400.

The previous prime is 21011101100029. The next prime is 21011101100117. The reversal of 21011101100110 is 1100110111012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011101100117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31220060734 + ... + 31220061406.

It is an arithmetic number, because the mean of its divisors is an integer number (170251389000).

Almost surely, 2^{21011101100110} is an apocalyptic number.

21011101100110 is an abundant number, since it is smaller than the sum of its proper divisors (22573254483890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21011101100110 is a wasteful number, since it uses less digits than its factorization.

21011101100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 21011101100110 its reverse (1100110111012), we get a palindrome (22111211211122).

The spelling of 21011101100110 in words is "twenty-one trillion, eleven billion, one hundred one million, one hundred thousand, one hundred ten".