101032135101 has 12 divisors (see below), whose sum is σ = 145944142812. Its totient is φ = 67350678336.

The previous prime is 101032135021. The next prime is 101032135103. The reversal of 101032135101 is 101531230101.

It can be written as a sum of positive squares in 2 ways, for example, as 29128248900 + 71903886201 = 170670^2 + 268149^2 .

It is not a de Polignac number, because 101032135101 - 2¹⁴ = 101032118717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032135103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178966 + ... + 483831.

It is an arithmetic number, because the mean of its divisors is an integer number (12162011901).

Almost surely, 2^101032135101 is an apocalyptic number.

It is an amenable number.

101032135101 is a deficient number, since it is larger than the sum of its proper divisors (44912007711).

101032135101 is a wasteful number, since it uses less digits than its factorization.

101032135101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679740 (or 679737 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101032135101 its reverse (101531230101), we get a palindrome (202563365202).

The spelling of 101032135101 in words is "one hundred one billion, thirty-two million, one hundred thirty-five thousand, one hundred one".