1011210101137 has 2 divisors, whose sum is σ = 1011210101138. Its totient is φ = 1011210101136.

The previous prime is 1011210101129. The next prime is 1011210101171. The reversal of 1011210101137 is 7311010121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980686167616 + 30523933521 = 990296^2 + 174711^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011210101137 - 2³ = 1011210101129 is a prime.

It is a super-4 number, since 4×1011210101137⁴ (a number of 49 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (1011210101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505605050568 + 505605050569.

It is an arithmetic number, because the mean of its divisors is an integer number (505605050569).

Almost surely, 2^{1011210101137} is an apocalyptic number.

It is an amenable number.

1011210101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011210101137 is an equidigital number, since it uses as much as digits as its factorization.

1011210101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 1011210101137 its reverse (7311010121101), we get a palindrome (8322220222238).

The spelling of 1011210101137 in words is "one trillion, eleven billion, two hundred ten million, one hundred one thousand, one hundred thirty-seven".