1010114101 has 2 divisors, whose sum is σ = 1010114102. Its totient is φ = 1010114100.

The previous prime is 1010114093. The next prime is 1010114107. The reversal of 1010114101 is 1014110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008126001 + 1988100 = 31751^2 + 1410^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010114101 - 2³ = 1010114093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010114107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505057050 + 505057051.

It is an arithmetic number, because the mean of its divisors is an integer number (505057051).

Almost surely, 2^1010114101 is an apocalyptic number.

It is an amenable number.

1010114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010114101 is an equidigital number, since it uses as much as digits as its factorization.

1010114101 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.

The square root of 1010114101 is about 31782.2922552795. The cubic root of 1010114101 is about 1003.3600643227.

Adding to 1010114101 its reverse (1014110101), we get a palindrome (2024224202).

The spelling of 1010114101 in words is "one billion, ten million, one hundred fourteen thousand, one hundred one".