10100032110121 has 2 divisors, whose sum is σ = 10100032110122. Its totient is φ = 10100032110120.

The previous prime is 10100032110101. The next prime is 10100032110151. The reversal of 10100032110121 is 12101123000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6677572810000 + 3422459300121 = 2584100^2 + 1849989^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100032110121 - 2¹⁵ = 10100032077353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100032110101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050016055060 + 5050016055061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050016055061).

Almost surely, 2^{10100032110121} is an apocalyptic number.

It is an amenable number.

10100032110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100032110121 is an equidigital number, since it uses as much as digits as its factorization.

10100032110121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10100032110121 its reverse (12101123000101), we get a palindrome (22201155110222).

The spelling of 10100032110121 in words is "ten trillion, one hundred billion, thirty-two million, one hundred ten thousand, one hundred twenty-one".