210101200001000 has 512 divisors, whose sum is σ = 627738817904640. Its totient is φ = 63924336000000.

The previous prime is 210101200000943. The next prime is 210101200001039. The reversal of 210101200001000 is 100002101012.

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 127 ways as a sum of consecutive naturals, for example, 551976749 + ... + 552357251.

It is an arithmetic number, because the mean of its divisors is an integer number (1226052378720).

Almost surely, 2^{210101200001000} is an apocalyptic number.

210101200001000 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 210101200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313869408952320).

210101200001000 is an abundant number, since it is smaller than the sum of its proper divisors (417637617903640).

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

210101200001000 is a wasteful number, since it uses less digits than its factorization.

210101200001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380714 (or 380700 counting only the distinct ones).

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

Adding to 210101200001000 its reverse (100002101012), we get a palindrome (210201202102012).

The spelling of 210101200001000 in words is "two hundred ten trillion, one hundred one billion, two hundred million, one thousand".