100100222121131 has 2 divisors, whose sum is σ = 100100222121132. Its totient is φ = 100100222121130.

The previous prime is 100100222121127. The next prime is 100100222121203. The reversal of 100100222121131 is 131121222001001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100222121131 - 2² = 100100222121127 is a prime.

It is a super-2 number, since 2×100100222121131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100222121631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050111060565 + 50050111060566.

It is an arithmetic number, because the mean of its divisors is an integer number (50050111060566).

Almost surely, 2^{100100222121131} is an apocalyptic number.

100100222121131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100222121131 is an equidigital number, since it uses as much as digits as its factorization.

100100222121131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100100222121131 its reverse (131121222001001), we get a palindrome (231221444122132).

The spelling of 100100222121131 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty-one".