210100210100000 has 576 divisors, whose sum is σ = 572635616974848. Its totient is φ = 75240000000000.

The previous prime is 210100210099951. The next prime is 210100210100023. The reversal of 210100210100000 is 1012001012.

210100210100000 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 (8).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21220095050 + ... + 21220104950.

It is an arithmetic number, because the mean of its divisors is an integer number (994159057248).

Almost surely, 2^{210100210100000} is an apocalyptic number.

210100210100000 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 210100210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286317808487424).

210100210100000 is an abundant number, since it is smaller than the sum of its proper divisors (362535406874848).

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

210100210100000 is a wasteful number, since it uses less digits than its factorization.

210100210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210100210100000 its reverse (1012001012), we get a palindrome (210101222101012).

The spelling of 210100210100000 in words is "two hundred ten trillion, one hundred billion, two hundred ten million, one hundred thousand".