210010001201000 has 384 divisors, whose sum is σ = 663438628719360. Its totient is φ = 60422454144000.

The previous prime is 210010001200921. The next prime is 210010001201003. The reversal of 210010001201000 is 102100010012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (210010001201003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4943762 + ... + 21082238.

It is an arithmetic number, because the mean of its divisors is an integer number (1727704762290).

Almost surely, 2^{210010001201000} is an apocalyptic number.

210010001201000 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 210010001201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331719314359680).

210010001201000 is an abundant number, since it is smaller than the sum of its proper divisors (453428627518360).

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

210010001201000 is a wasteful number, since it uses less digits than its factorization.

210010001201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138542 (or 16138515 counting only the distinct ones).

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

Adding to 210010001201000 its reverse (102100010012), we get a palindrome (210112101211012).

The spelling of 210010001201000 in words is "two hundred ten trillion, ten billion, one million, two hundred one thousand".