21110102101120 has 128 divisors (see below), whose sum is σ = 52114318502400. Its totient is φ = 8168509808640.

The previous prime is 21110102101103. The next prime is 21110102101139. The reversal of 21110102101120 is 2110120101112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21110102101120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21110102101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51717991 + ... + 52124569.

It is an arithmetic number, because the mean of its divisors is an integer number (407143113300).

Almost surely, 2^{21110102101120} is an apocalyptic number.

21110102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26057159251200).

21110102101120 is an abundant number, since it is smaller than the sum of its proper divisors (31004216401280).

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

21110102101120 is a wasteful number, since it uses less digits than its factorization.

21110102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409246 (or 409234 counting only the distinct ones).

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

Adding to 21110102101120 its reverse (2110120101112), we get a palindrome (23220222202232).

The spelling of 21110102101120 in words is "twenty-one trillion, one hundred ten billion, one hundred two million, one hundred one thousand, one hundred twenty".