100102020111101 has 2 divisors, whose sum is σ = 100102020111102. Its totient is φ = 100102020111100.

The previous prime is 100102020111083. The next prime is 100102020111133. The reversal of 100102020111101 is 101111020201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93508803300025 + 6593216811076 = 9669995^2 + 2567726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102020111101 - 2¹⁰ = 100102020110077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102020111901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051010055550 + 50051010055551.

It is an arithmetic number, because the mean of its divisors is an integer number (50051010055551).

Almost surely, 2^{100102020111101} is an apocalyptic number.

It is an amenable number.

100102020111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102020111101 is an equidigital number, since it uses as much as digits as its factorization.

100102020111101 is an evil number, because the sum of its binary digits is even.

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

Adding to 100102020111101 its reverse (101111020201001), we get a palindrome (201213040312102).

The spelling of 100102020111101 in words is "one hundred trillion, one hundred two billion, twenty million, one hundred eleven thousand, one hundred one".