10200100212001 has 18 divisors (see below), whose sum is σ = 12522786855570. Its totient is φ = 8282788127712.

The previous prime is 10200100211981. The next prime is 10200100212031. The reversal of 10200100212001 is 10021200100201.

It can be written as a sum of positive squares in only one way, i.e., 10188864000000 + 11236212001 = 3192000^2 + 106001^2 .

It is not a de Polignac number, because 10200100212001 - 2¹¹ = 10200100209953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200100212031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288299916 + ... + 288335293.

It is an arithmetic number, because the mean of its divisors is an integer number (695710380865).

Almost surely, 2^{10200100212001} is an apocalyptic number.

It is an amenable number.

10200100212001 is a deficient number, since it is larger than the sum of its proper divisors (2322686643569).

10200100212001 is an equidigital number, since it uses as much as digits as its factorization.

10200100212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576635261 (or 576635235 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200100212001 its reverse (10021200100201), we get a palindrome (20221300312202).

The spelling of 10200100212001 in words is "ten trillion, two hundred billion, one hundred million, two hundred twelve thousand, one".