21101102011120 has 40 divisors (see below), whose sum is σ = 50751788463360. Its totient is φ = 8149391120640.

The previous prime is 21101102011117. The next prime is 21101102011123. The reversal of 21101102011120 is 2111020110112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21101102011117) and next prime (21101102011123).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 21101102011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101102011123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4547648976 + ... + 4547653615.

It is an arithmetic number, because the mean of its divisors is an integer number (1268794711584).

Almost surely, 2^{21101102011120} is an apocalyptic number.

21101102011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101102011120 is an abundant number, since it is smaller than the sum of its proper divisors (29650686452240).

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

21101102011120 is a wasteful number, since it uses less digits than its factorization.

21101102011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9095302633 (or 9095302627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21101102011120 its reverse (2111020110112), we get a palindrome (23212122121232).

The spelling of 21101102011120 in words is "twenty-one trillion, one hundred one billion, one hundred two million, eleven thousand, one hundred twenty".