100022133231121 has 2 divisors, whose sum is σ = 100022133231122. Its totient is φ = 100022133231120.

The previous prime is 100022133231101. The next prime is 100022133231161. The reversal of 100022133231121 is 121132331220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89216317902721 + 10805815328400 = 9445439^2 + 3287220^2 .

It is an emirp because it is prime and its reverse (121132331220001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100022133231121 - 2¹⁵ = 100022133198353 is a prime.

It is a super-2 number, since 2×100022133231121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022133231092 and 100022133231101.

It is not a weakly prime, because it can be changed into another prime (100022133231101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011066615560 + 50011066615561.

It is an arithmetic number, because the mean of its divisors is an integer number (50011066615561).

Almost surely, 2^{100022133231121} is an apocalyptic number.

It is an amenable number.

100022133231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022133231121 is an equidigital number, since it uses as much as digits as its factorization.

100022133231121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100022133231121 its reverse (121132331220001), we get a palindrome (221154464451122).

The spelling of 100022133231121 in words is "one hundred trillion, twenty-two billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty-one".