10010201121 has 24 divisors (see below), whose sum is σ = 14962944360. Its totient is φ = 6441120000.

The previous prime is 10010201101. The next prime is 10010201147. The reversal of 10010201121 is 12110201001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2564409600 + 7445791521 = 50640^2 + 86289^2 .

It is not a de Polignac number, because 10010201121 - 2¹⁸ = 10009938977 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10010201101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107621 + ... + 1116621.

It is an arithmetic number, because the mean of its divisors is an integer number (623456015).

Almost surely, 2^10010201121 is an apocalyptic number.

It is an amenable number.

10010201121 is a deficient number, since it is larger than the sum of its proper divisors (4952743239).

10010201121 is a wasteful number, since it uses less digits than its factorization.

10010201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13297 (or 13294 counting only the distinct ones).

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

Adding to 10010201121 its reverse (12110201001), we get a palindrome (22120402122).

The spelling of 10010201121 in words is "ten billion, ten million, two hundred one thousand, one hundred twenty-one".