210001000021120 has 512 divisors, whose sum is σ = 631299411187200. Its totient is φ = 65432612044800.

The previous prime is 210001000021051. The next prime is 210001000021171. The reversal of 210001000021120 is 21120000100012.

210001000021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210001000021097 and 210001000021106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31060638540 + ... + 31060645300.

It is an arithmetic number, because the mean of its divisors is an integer number (1233006662475).

Almost surely, 2^{210001000021120} is an apocalyptic number.

210001000021120 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 210001000021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315649705593600).

210001000021120 is an abundant number, since it is smaller than the sum of its proper divisors (421298411166080).

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

210001000021120 is an equidigital number, since it uses as much as digits as its factorization.

210001000021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210001000021120 its reverse (21120000100012), we get a palindrome (231121000121132).

The spelling of 210001000021120 in words is "two hundred ten trillion, one billion, twenty-one thousand, one hundred twenty".