10041100200121 has 16 divisors (see below), whose sum is σ = 10314802990800. Its totient is φ = 9770717848320.

The previous prime is 10041100200097. The next prime is 10041100200217. The reversal of 10041100200121 is 12100200114001.

It can be written as a sum of positive squares in 8 ways, for example, as 1257795895225 + 8783304304896 = 1121515^2 + 2963664^2 .

It is a cyclic number.

It is not a de Polignac number, because 10041100200121 - 2¹³ = 10041100191929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10041100200421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4258111 + ... + 6181723.

It is an arithmetic number, because the mean of its divisors is an integer number (644675186925).

Almost surely, 2^{10041100200121} is an apocalyptic number.

It is an amenable number.

10041100200121 is a deficient number, since it is larger than the sum of its proper divisors (273702790679).

10041100200121 is a wasteful number, since it uses less digits than its factorization.

10041100200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924476.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10041100200121 its reverse (12100200114001), we get a palindrome (22141300314122).

The spelling of 10041100200121 in words is "ten trillion, forty-one billion, one hundred million, two hundred thousand, one hundred twenty-one".