101135215032 has 64 divisors (see below), whose sum is σ = 276942304800. Its totient is φ = 30634598400.

The previous prime is 101135214991. The next prime is 101135215037. The reversal of 101135215032 is 230512531101.

It is a super-3 number, since 3×101135215032³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101135214993 and 101135215011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101135215037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4261969 + ... + 4285632.

Almost surely, 2^101135215032 is an apocalyptic number.

101135215032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101135215032 is an abundant number, since it is smaller than the sum of its proper divisors (175807089768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101135215032 is a wasteful number, since it uses less digits than its factorization.

101135215032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547656 (or 8547652 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101135215032 its reverse (230512531101), we get a palindrome (331647746133).

The spelling of 101135215032 in words is "one hundred one billion, one hundred thirty-five million, two hundred fifteen thousand, thirty-two".