210100121000000 has 1568 divisors, whose sum is σ = 668646441216000. Its totient is φ = 63608832000000.

The previous prime is 210100120999987. The next prime is 210100121000017. The reversal of 210100121000000 is 121001012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 467928999776 + ... + 467929000224.

Almost surely, 2^{210100121000000} is an apocalyptic number.

210100121000000 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 210100121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334323220608000).

210100121000000 is an abundant number, since it is smaller than the sum of its proper divisors (458546320216000).

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

210100121000000 is an equidigital number, since it uses as much as digits as its factorization.

210100121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 636 counting only the distinct ones).

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

Adding to 210100121000000 its reverse (121001012), we get a palindrome (210100242001012).

The spelling of 210100121000000 in words is "two hundred ten trillion, one hundred billion, one hundred twenty-one million", and thus it is an aban number.