100102112111021 has 2 divisors, whose sum is σ = 100102112111022. Its totient is φ = 100102112111020.

The previous prime is 100102112111009. The next prime is 100102112111153. The reversal of 100102112111021 is 120111211201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79578620869225 + 20523491241796 = 8920685^2 + 4530286^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102112111021 - 2¹⁰ = 100102112109997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100102112110987 and 100102112111005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102112111621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051056055510 + 50051056055511.

It is an arithmetic number, because the mean of its divisors is an integer number (50051056055511).

Almost surely, 2^{100102112111021} is an apocalyptic number.

It is an amenable number.

100102112111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102112111021 is an equidigital number, since it uses as much as digits as its factorization.

100102112111021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100102112111021 its reverse (120111211201001), we get a palindrome (220213323312022).

The spelling of 100102112111021 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred eleven thousand, twenty-one".