10200011121 has 12 divisors (see below), whose sum is σ = 14734236660. Its totient is φ = 6799597920.

The previous prime is 10200011113. The next prime is 10200011131. The reversal of 10200011121 is 12111000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6183620496 + 4016390625 = 78636^2 + 63375^2 .

It is not a de Polignac number, because 10200011121 - 2³ = 10200011113 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 (10200011131) 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, 237015 + ... + 276723.

It is an arithmetic number, because the mean of its divisors is an integer number (1227853055).

Almost surely, 2^10200011121 is an apocalyptic number.

It is an amenable number.

10200011121 is a deficient number, since it is larger than the sum of its proper divisors (4534225539).

10200011121 is a wasteful number, since it uses less digits than its factorization.

10200011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68256 (or 68253 counting only the distinct ones).

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

Adding to 10200011121 its reverse (12111000201), we get a palindrome (22311011322).

The spelling of 10200011121 in words is "ten billion, two hundred million, eleven thousand, one hundred twenty-one".