101302101032 has 128 divisors (see below), whose sum is σ = 225619430400. Its totient is φ = 42142809600.

The previous prime is 101302101031. The next prime is 101302101049. The reversal of 101302101032 is 230101203101.

It is a junction number, because it is equal to n+sod(n) for n = 101302100998 and 101302101016.

It is not an unprimeable number, because it can be changed into a prime (101302101031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7053683 + ... + 7068029.

It is an arithmetic number, because the mean of its divisors is an integer number (1762651800).

Almost surely, 2^101302101032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101302101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112809715200).

101302101032 is an abundant number, since it is smaller than the sum of its proper divisors (124317329368).

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

101302101032 is a wasteful number, since it uses less digits than its factorization.

101302101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14527 (or 14523 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101302101032 its reverse (230101203101), we get a palindrome (331403304133).

The spelling of 101302101032 in words is "one hundred one billion, three hundred two million, one hundred one thousand, thirty-two".