100110010021121 has 2 divisors, whose sum is σ = 100110010021122. Its totient is φ = 100110010021120.

The previous prime is 100110010021069. The next prime is 100110010021141. The reversal of 100110010021121 is 121120010011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97870677347521 + 2239332673600 = 9892961^2 + 1496440^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110010021121 - 2⁶ = 100110010021057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110010021141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005010560 + 50055005010561.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005010561).

Almost surely, 2^{100110010021121} is an apocalyptic number.

It is an amenable number.

100110010021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110010021121 is an equidigital number, since it uses as much as digits as its factorization.

100110010021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110010021121 its reverse (121120010011001), we get a palindrome (221230020032122).

The spelling of 100110010021121 in words is "one hundred trillion, one hundred ten billion, ten million, twenty-one thousand, one hundred twenty-one".