21011011110120 has 128 divisors (see below), whose sum is σ = 63812576096640. Its totient is φ = 5533878927360.

The previous prime is 21011011110107. The next prime is 21011011110169. The reversal of 21011011110120 is 2101111011012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21011011110096 and 21011011110105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3877084 + ... + 7553396.

It is an arithmetic number, because the mean of its divisors is an integer number (498535750755).

Almost surely, 2^{21011011110120} is an apocalyptic number.

21011011110120 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 21011011110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31906288048320).

21011011110120 is an abundant number, since it is smaller than the sum of its proper divisors (42801564986520).

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

21011011110120 is a wasteful number, since it uses less digits than its factorization.

21011011110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676915 (or 3676911 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21011011110120 its reverse (2101111011012), we get a palindrome (23112122121132).

The spelling of 21011011110120 in words is "twenty-one trillion, eleven billion, eleven million, one hundred ten thousand, one hundred twenty".