101032103011 has 48 divisors (see below), whose sum is σ = 125333485056. Its totient is φ = 79503208704.

The previous prime is 101032102993. The next prime is 101032103017. The reversal of 101032103011 is 110301230101.

It is not a de Polignac number, because 101032103011 - 2²⁵ = 100998548579 is a prime.

It is a super-2 number, since 2×101032103011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101032102982 and 101032103000.

It is not an unprimeable number, because it can be changed into a prime (101032103017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122760346 + ... + 122761168.

It is an arithmetic number, because the mean of its divisors is an integer number (2611114272).

Almost surely, 2^101032103011 is an apocalyptic number.

101032103011 is a deficient number, since it is larger than the sum of its proper divisors (24301382045).

101032103011 is an equidigital number, since it uses as much as digits as its factorization.

101032103011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101032103011 its reverse (110301230101), we get a palindrome (211333333112).

The spelling of 101032103011 in words is "one hundred one billion, thirty-two million, one hundred three thousand, eleven".