21101310132120 has 192 divisors, whose sum is σ = 69746679007200. Its totient is φ = 5531341916160.

The previous prime is 21101310132047. The next prime is 21101310132121. The reversal of 21101310132120 is 2123101310112.

21101310132120 is a `hidden beast` number, since 2 + 1 + 10 + 1 + 310 + 1 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21101310132093 and 21101310132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101310132121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35256484 + ... + 35849996.

Almost surely, 2^{21101310132120} is an apocalyptic number.

21101310132120 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 21101310132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34873339503600).

21101310132120 is an abundant number, since it is smaller than the sum of its proper divisors (48645368875080).

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

21101310132120 is a wasteful number, since it uses less digits than its factorization.

21101310132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595210 (or 595203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21101310132120 its reverse (2123101310112), we get a palindrome (23224411442232).

The spelling of 21101310132120 in words is "twenty-one trillion, one hundred one billion, three hundred ten million, one hundred thirty-two thousand, one hundred twenty".