210000001010100 has 576 divisors, whose sum is σ = 707243565514752. Its totient is φ = 47118532608000.

The previous prime is 210000001010081. The next prime is 210000001010209. The reversal of 210000001010100 is 1010100000012.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36604494432 + ... + 36604500168.

It is an arithmetic number, because the mean of its divisors is an integer number (1227853412352).

Almost surely, 2^{210000001010100} is an apocalyptic number.

210000001010100 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 210000001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353621782757376).

210000001010100 is an abundant number, since it is smaller than the sum of its proper divisors (497243564504652).

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

210000001010100 is a wasteful number, since it uses less digits than its factorization.

210000001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 210000001010100 its reverse (1010100000012), we get a palindrome (211010101010112).

The spelling of 210000001010100 in words is "two hundred ten trillion, one million, ten thousand, one hundred".