1102012002101 has 2 divisors, whose sum is σ = 1102012002102. Its totient is φ = 1102012002100.

The previous prime is 1102012002017. The next prime is 1102012002121. The reversal of 1102012002101 is 1012002102011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 879346930225 + 222665071876 = 937735^2 + 471874^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102012002101 - 2¹⁴ = 1102011985717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102012002121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551006001050 + 551006001051.

It is an arithmetic number, because the mean of its divisors is an integer number (551006001051).

Almost surely, 2^{1102012002101} is an apocalyptic number.

It is an amenable number.

1102012002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102012002101 is an equidigital number, since it uses as much as digits as its factorization.

1102012002101 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 11.

Adding to 1102012002101 its reverse (1012002102011), we get a palindrome (2114014104112).

The spelling of 1102012002101 in words is "one trillion, one hundred two billion, twelve million, two thousand, one hundred one".