100000021101121 has 2 divisors, whose sum is σ = 100000021101122. Its totient is φ = 100000021101120.

The previous prime is 100000021101073. The next prime is 100000021101203. The reversal of 100000021101121 is 121101120000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99997300018225 + 2721082896 = 9999865^2 + 52164^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000021101121 - 2²⁵ = 99999987546689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000021101098 and 100000021101107.

It is not a weakly prime, because it can be changed into another prime (100000021111121) 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, 50000010550560 + 50000010550561.

It is an arithmetic number, because the mean of its divisors is an integer number (50000010550561).

Almost surely, 2^{100000021101121} is an apocalyptic number.

It is an amenable number.

100000021101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000021101121 is an equidigital number, since it uses as much as digits as its factorization.

100000021101121 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 10.

Adding to 100000021101121 its reverse (121101120000001), we get a palindrome (221101141101122).

The spelling of 100000021101121 in words is "one hundred trillion, twenty-one million, one hundred one thousand, one hundred twenty-one".