1010312101 has 2 divisors, whose sum is σ = 1010312102. Its totient is φ = 1010312100.

The previous prime is 1010312089. The next prime is 1010312111. The reversal of 1010312101 is 1012130101.

It is an a-pointer prime, because the next prime (1010312111) can be obtained adding 1010312101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 924768100 + 85544001 = 30410^2 + 9249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010312101 - 2¹¹ = 1010310053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010312111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505156050 + 505156051.

It is an arithmetic number, because the mean of its divisors is an integer number (505156051).

Almost surely, 2^1010312101 is an apocalyptic number.

It is an amenable number.

1010312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010312101 is an equidigital number, since it uses as much as digits as its factorization.

1010312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1010312101 is about 31785.4070447430. The cubic root of 1010312101 is about 1003.4256187365.

Adding to 1010312101 its reverse (1012130101), we get a palindrome (2022442202).

The spelling of 1010312101 in words is "one billion, ten million, three hundred twelve thousand, one hundred one".