10010031332121 has 6 divisors (see below), whose sum is σ = 14458934146410. Its totient is φ = 6673354221408.

The previous prime is 10010031332029. The next prime is 10010031332141. The reversal of 10010031332121 is 12123313001001.

10010031332121 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 313 + 321 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6385405548096 + 3624625784025 = 2526936^2 + 1903845^2 .

It is not a de Polignac number, because 10010031332121 - 2⁴² = 5611984821017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010031332094 and 10010031332103.

It is not an unprimeable number, because it can be changed into a prime (10010031332141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556112851776 + ... + 556112851793.

It is an arithmetic number, because the mean of its divisors is an integer number (2409822357735).

Almost surely, 2^{10010031332121} is an apocalyptic number.

It is an amenable number.

10010031332121 is a deficient number, since it is larger than the sum of its proper divisors (4448902814289).

10010031332121 is a wasteful number, since it uses less digits than its factorization.

10010031332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112225703575 (or 1112225703572 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10010031332121 its reverse (12123313001001), we get a palindrome (22133344333122).

The spelling of 10010031332121 in words is "ten trillion, ten billion, thirty-one million, three hundred thirty-two thousand, one hundred twenty-one".