10201002100201 has 12 divisors (see below), whose sum is σ = 11802812350000. Its totient is φ = 8785552046040.

The previous prime is 10201002100151. The next prime is 10201002100259. The reversal of 10201002100201 is 10200120010201.

10201002100201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201002100201 - 2¹⁹ = 10201001575913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201002109201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2218571451 + ... + 2218576048.

Almost surely, 2^{10201002100201} is an apocalyptic number.

10201002100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201002100201 is a deficient number, since it is larger than the sum of its proper divisors (1601810249799).

10201002100201 is a wasteful number, since it uses less digits than its factorization.

10201002100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437147540 (or 4437147529 counting only the distinct ones).

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

Adding to 10201002100201 its reverse (10200120010201), we get a palindrome (20401122110402).

Subtracting from 10201002100201 its reverse (10200120010201), we obtain a square (882090000 = 29700²).

The spelling of 10201002100201 in words is "ten trillion, two hundred one billion, two million, one hundred thousand, two hundred one".