2100201212010 has 96 divisors (see below), whose sum is σ = 5543341473600. Its totient is φ = 508866209280.

The previous prime is 2100201211991. The next prime is 2100201212017. The reversal of 2100201212010 is 102121020012.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2100201212017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6644541 + ... + 6953439.

It is an arithmetic number, because the mean of its divisors is an integer number (57743140350).

Almost surely, 2^{2100201212010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100201212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771670736800).

2100201212010 is an abundant number, since it is smaller than the sum of its proper divisors (3443140261590).

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

2100201212010 is a wasteful number, since it uses less digits than its factorization.

2100201212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310804 (or 310793 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100201212010 its reverse (102121020012), we get a palindrome (2202322232022).

The spelling of 2100201212010 in words is "two trillion, one hundred billion, two hundred one million, two hundred twelve thousand, ten".