1010010042101 has 2 divisors, whose sum is σ = 1010010042102. Its totient is φ = 1010010042100.

The previous prime is 1010010042059. The next prime is 1010010042103. The reversal of 1010010042101 is 1012400100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 790774455025 + 219235587076 = 889255^2 + 468226^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010042101 - 2⁶ = 1010010042037 is a prime.

Together with 1010010042103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010042103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005021050 + 505005021051.

It is an arithmetic number, because the mean of its divisors is an integer number (505005021051).

Almost surely, 2^{1010010042101} is an apocalyptic number.

It is an amenable number.

1010010042101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010042101 is an equidigital number, since it uses as much as digits as its factorization.

1010010042101 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 1010010042101 its reverse (1012400100101), we get a palindrome (2022410142202).

The spelling of 1010010042101 in words is "one trillion, ten billion, ten million, forty-two thousand, one hundred one".