210096901901100 has 432 divisors, whose sum is σ = 658263383884512. Its totient is φ = 51557692293120.

The previous prime is 210096901901087. The next prime is 210096901901129. The reversal of 210096901901100 is 1109109690012.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4197463674 + ... + 4197513726.

It is an arithmetic number, because the mean of its divisors is an integer number (1523757833066).

Almost surely, 2^{210096901901100} is an apocalyptic number.

210096901901100 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 210096901901100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329131691942256).

210096901901100 is an abundant number, since it is smaller than the sum of its proper divisors (448166481983412).

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

210096901901100 is a wasteful number, since it uses less digits than its factorization.

210096901901100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50486 (or 50426 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 39.

The spelling of 210096901901100 in words is "two hundred ten trillion, ninety-six billion, nine hundred one million, nine hundred one thousand, one hundred".