210021120112100 has 216 divisors, whose sum is σ = 507849232131360. Its totient is φ = 74744961920000.

The previous prime is 210021120112079. The next prime is 210021120112183. The reversal of 210021120112100 is 1211021120012.

210021120112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210021120112100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3344200700 + ... + 3344263500.

It is an arithmetic number, because the mean of its divisors is an integer number (2351153852460).

Almost surely, 2^{210021120112100} is an apocalyptic number.

210021120112100 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 210021120112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253924616065680).

210021120112100 is an abundant number, since it is smaller than the sum of its proper divisors (297828112019260).

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

210021120112100 is a wasteful number, since it uses less digits than its factorization.

210021120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63339 (or 63105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210021120112100 its reverse (1211021120012), we get a palindrome (211232141232112).

The spelling of 210021120112100 in words is "two hundred ten trillion, twenty-one billion, one hundred twenty million, one hundred twelve thousand, one hundred".