1010002112101 has 2 divisors, whose sum is σ = 1010002112102. Its totient is φ = 1010002112100.

The previous prime is 1010002112087. The next prime is 1010002112123. The reversal of 1010002112101 is 1012112000101.

1010002112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 805055768001 + 204946344100 = 897249^2 + 452710^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010002112101 - 2¹³ = 1010002103909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010002113101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505001056050 + 505001056051.

It is an arithmetic number, because the mean of its divisors is an integer number (505001056051).

Almost surely, 2^{1010002112101} is an apocalyptic number.

It is an amenable number.

1010002112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010002112101 is an equidigital number, since it uses as much as digits as its factorization.

1010002112101 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 10.

Adding to 1010002112101 its reverse (1012112000101), we get a palindrome (2022114112202).

The spelling of 1010002112101 in words is "one trillion, ten billion, two million, one hundred twelve thousand, one hundred one".