201010001012100 has 576 divisors, whose sum is σ = 755639635968000. Its totient is φ = 44892212843520.

The previous prime is 201010001012083. The next prime is 201010001012129. The reversal of 201010001012100 is 1210100010102.

It is a happy number.

201010001012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 146947101 + ... + 148308699.

It is an arithmetic number, because the mean of its divisors is an integer number (1311874368000).

Almost surely, 2^{201010001012100} is an apocalyptic number.

201010001012100 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 201010001012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377819817984000).

201010001012100 is an abundant number, since it is smaller than the sum of its proper divisors (554629634955900).

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

201010001012100 is a wasteful number, since it uses less digits than its factorization.

201010001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361809 (or 1361796 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201010001012100 its reverse (1210100010102), we get a palindrome (202220101022202).

The spelling of 201010001012100 in words is "two hundred one trillion, ten billion, one million, twelve thousand, one hundred".