101011102101137 has 6 divisors (see below), whose sum is σ = 107302451021238. Its totient is φ = 95069272565504.

The previous prime is 101011102101131. The next prime is 101011102101139. The reversal of 101011102101137 is 731101201110101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 72999953088001 + 28011149013136 = 8544001^2 + 5292556^2 .

It is not a de Polignac number, because 101011102101137 - 2¹⁸ = 101011101838993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011102101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174759691928 + ... + 174759692505.

It is an arithmetic number, because the mean of its divisors is an integer number (17883741836873).

Almost surely, 2^{101011102101137} is an apocalyptic number.

101011102101137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101011102101137 is a deficient number, since it is larger than the sum of its proper divisors (6291348920101).

101011102101137 is an equidigital number, since it uses as much as digits as its factorization.

101011102101137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349519384467 (or 349519384450 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 101011102101137 its reverse (731101201110101), we get a palindrome (832112303211238).

The spelling of 101011102101137 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, one hundred thirty-seven".