101002114032 has 20 divisors (see below), whose sum is σ = 260922128040. Its totient is φ = 33667371328.

The previous prime is 101002114027. The next prime is 101002114033. The reversal of 101002114032 is 230411200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002114033) 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 in 3 ways as a sum of consecutive naturals, for example, 1052105307 + ... + 1052105402.

It is an arithmetic number, because the mean of its divisors is an integer number (13046106402).

Almost surely, 2^101002114032 is an apocalyptic number.

101002114032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002114032 is an abundant number, since it is smaller than the sum of its proper divisors (159920014008).

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

101002114032 is a wasteful number, since it uses less digits than its factorization.

101002114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104210720 (or 2104210714 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101002114032 its reverse (230411200101), we get a palindrome (331413314133).

The spelling of 101002114032 in words is "one hundred one billion, two million, one hundred fourteen thousand, thirty-two".