10000201100211 has 36 divisors (see below), whose sum is σ = 16850659987512. Its totient is φ = 5698212436224.

The previous prime is 10000201100203. The next prime is 10000201100237. The reversal of 10000201100211 is 11200110200001.

It is a happy number.

It is not a de Polignac number, because 10000201100211 - 2³ = 10000201100203 is a prime.

It is a super-2 number, since 2×10000201100211² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000201100193 and 10000201100202.

It is not an unprimeable number, because it can be changed into a prime (10000201100311) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 31963581 + ... + 32274926.

It is an arithmetic number, because the mean of its divisors is an integer number (468073888542).

Almost surely, 2^{10000201100211} is an apocalyptic number.

10000201100211 is a deficient number, since it is larger than the sum of its proper divisors (6850458887301).

10000201100211 is a wasteful number, since it uses less digits than its factorization.

10000201100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64238880 (or 64238870 counting only the distinct ones).

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

Adding to 10000201100211 its reverse (11200110200001), we get a palindrome (21200311300212).

The spelling of 10000201100211 in words is "ten trillion, two hundred one million, one hundred thousand, two hundred eleven".