21002101101102 has 16 divisors (see below), whose sum is σ = 45822766038912. Its totient is φ = 6364273060920.

The previous prime is 21002101101089. The next prime is 21002101101103. The reversal of 21002101101102 is 20110110120012.

It is a super-2 number, since 2×21002101101102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002101101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159106826458 + ... + 159106826589.

It is an arithmetic number, because the mean of its divisors is an integer number (2863922877432).

Almost surely, 2^{21002101101102} is an apocalyptic number.

21002101101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21002101101102 is an abundant number, since it is smaller than the sum of its proper divisors (24820664937810).

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

21002101101102 is a wasteful number, since it uses less digits than its factorization.

21002101101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318213653063.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21002101101102 its reverse (20110110120012), we get a palindrome (41112211221114).

The spelling of 21002101101102 in words is "twenty-one trillion, two billion, one hundred one million, one hundred one thousand, one hundred two".