101213012032 has 84 divisors (see below), whose sum is σ = 226400520528. Its totient is φ = 44521555200.

The previous prime is 101213012003. The next prime is 101213012053. The reversal of 101213012032 is 230210312101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101213011997 and 101213012015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601743 + ... + 751345.

It is an arithmetic number, because the mean of its divisors is an integer number (2695244292).

Almost surely, 2^101213012032 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 101213012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113200260264).

101213012032 is an abundant number, since it is smaller than the sum of its proper divisors (125187508496).

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

101213012032 is a wasteful number, since it uses less digits than its factorization.

101213012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149688 (or 149647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101213012032 its reverse (230210312101), we get a palindrome (331423324133).

The spelling of 101213012032 in words is "one hundred one billion, two hundred thirteen million, twelve thousand, thirty-two".