101010210032 has 80 divisors (see below), whose sum is σ = 204135601152. Its totient is φ = 48365614080.

The previous prime is 101010210031. The next prime is 101010210083. The reversal of 101010210032 is 230012010101.

It is a junction number, because it is equal to n+sod(n) for n = 101010209995 and 101010210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010210031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50834543 + ... + 50836529.

Almost surely, 2^101010210032 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 101010210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102067800576).

101010210032 is an abundant number, since it is smaller than the sum of its proper divisors (103125391120).

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

101010210032 is a wasteful number, since it uses less digits than its factorization.

101010210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101010210032 its reverse (230012010101), we get a palindrome (331022220133).

The spelling of 101010210032 in words is "one hundred one billion, ten million, two hundred ten thousand, thirty-two".