100100101021 has 2 divisors, whose sum is σ = 100100101022. Its totient is φ = 100100101020.

The previous prime is 100100101019. The next prime is 100100101033. The reversal of 100100101021 is 120101001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100100100996 + 25 = 316386^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100101021 - 2¹ = 100100101019 is a prime.

Together with 100100101019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100100100995 and 100100101013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100101051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050510 + 50050050511.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050511).

Almost surely, 2^100100101021 is an apocalyptic number.

It is an amenable number.

100100101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100101021 is an equidigital number, since it uses as much as digits as its factorization.

100100101021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100101021 its reverse (120101001001), we get a palindrome (220201102022).

The spelling of 100100101021 in words is "one hundred billion, one hundred million, one hundred one thousand, twenty-one".