201210210010100 has 18 divisors (see below), whose sum is σ = 436626155722134. Its totient is φ = 80484084004000.

The previous prime is 201210210010093. The next prime is 201210210010123. The reversal of 201210210010100 is 1010012012102.

It can be written as a sum of positive squares in 3 ways, for example, as 40898045844964 + 160312164165136 = 6395158^2 + 12661444^2 .

It is a super-2 number, since 2×201210210010100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1006051049951 + ... + 1006051050150.

Almost surely, 2^{201210210010100} is an apocalyptic number.

201210210010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210210010100 is an abundant number, since it is smaller than the sum of its proper divisors (235415945712034).

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

201210210010100 is a wasteful number, since it uses less digits than its factorization.

201210210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012102100115 (or 2012102100108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201210210010100 its reverse (1010012012102), we get a palindrome (202220222022202).

The spelling of 201210210010100 in words is "two hundred one trillion, two hundred ten billion, two hundred ten million, ten thousand, one hundred".