201012210011100 has 216 divisors, whose sum is σ = 589458378280464. Its totient is φ = 52883031040000.

The previous prime is 201012210011059. The next prime is 201012210011101. The reversal of 201012210011100 is 1110012210102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012210011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2392476292 + ... + 2392560308.

Almost surely, 2^{201012210011100} is an apocalyptic number.

201012210011100 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 201012210011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294729189140232).

201012210011100 is an abundant number, since it is smaller than the sum of its proper divisors (388446168269364).

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

201012210011100 is a wasteful number, since it uses less digits than its factorization.

201012210011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84697 (or 84409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201012210011100 its reverse (1110012210102), we get a palindrome (202122222221202).

The spelling of 201012210011100 in words is "two hundred one trillion, twelve billion, two hundred ten million, eleven thousand, one hundred".