21011201100120 has 256 divisors, whose sum is σ = 82723526553600. Its totient is φ = 4136176258560.

The previous prime is 21011201100077. The next prime is 21011201100137. The reversal of 21011201100120 is 2100110211012.

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 = 21011201100096 and 21011201100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59664954 + ... + 60016073.

It is an arithmetic number, because the mean of its divisors is an integer number (323138775600).

Almost surely, 2^{21011201100120} is an apocalyptic number.

21011201100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011201100120 is an abundant number, since it is smaller than the sum of its proper divisors (61712325453480).

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

21011201100120 is a wasteful number, since it uses less digits than its factorization.

21011201100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119681078 (or 119681074 counting only the distinct ones).

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

Adding to 21011201100120 its reverse (2100110211012), we get a palindrome (23111311311132).

The spelling of 21011201100120 in words is "twenty-one trillion, eleven billion, two hundred one million, one hundred thousand, one hundred twenty".