10031121100229 has 2 divisors, whose sum is σ = 10031121100230. Its totient is φ = 10031121100228.

The previous prime is 10031121100199. The next prime is 10031121100237. The reversal of 10031121100229 is 92200112113001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5503120132129 + 4528000968100 = 2345873^2 + 2127910^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031121100229 - 2⁸ = 10031121099973 is a prime.

It is a super-3 number, since 3×10031121100229³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031121100249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015560550114 + 5015560550115.

It is an arithmetic number, because the mean of its divisors is an integer number (5015560550115).

Almost surely, 2^{10031121100229} is an apocalyptic number.

It is an amenable number.

10031121100229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031121100229 is an equidigital number, since it uses as much as digits as its factorization.

10031121100229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10031121100229 in words is "ten trillion, thirty-one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-nine".