10100211201 has 6 divisors (see below), whose sum is σ = 14589193970. Its totient is φ = 6733474128.

The previous prime is 10100211169. The next prime is 10100211203. The reversal of 10100211201 is 10211200101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7293330801 + 2806880400 = 85401^2 + 52980^2 .

It is not a de Polignac number, because 10100211201 - 2⁵ = 10100211169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122245689 = 10100211201 / (1 + 0 + 1 + 0 + 0 + 2 + 1 + 1 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100211203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561122836 + ... + 561122853.

Almost surely, 2^10100211201 is an apocalyptic number.

It is an amenable number.

10100211201 is a deficient number, since it is larger than the sum of its proper divisors (4488982769).

10100211201 is a wasteful number, since it uses less digits than its factorization.

10100211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122245695 (or 1122245692 counting only the distinct ones).

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

Adding to 10100211201 its reverse (10211200101), we get a palindrome (20311411302).

The spelling of 10100211201 in words is "ten billion, one hundred million, two hundred eleven thousand, two hundred one".