101002011012032 has 168 divisors, whose sum is σ = 221058468406944. Its totient is φ = 45515960211456.

The previous prime is 101002011012031. The next prime is 101002011012047. The reversal of 101002011012032 is 230210110200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002011011998 and 101002011012016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002011012031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5004301013 + ... + 5004321195.

It is an arithmetic number, because the mean of its divisors is an integer number (1315824216708).

Almost surely, 2^{101002011012032} 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 101002011012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110529234203472).

101002011012032 is an abundant number, since it is smaller than the sum of its proper divisors (120056457394912).

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

101002011012032 is a wasteful number, since it uses less digits than its factorization.

101002011012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23547 (or 23494 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101002011012032 its reverse (230210110200101), we get a palindrome (331212121212133).

The spelling of 101002011012032 in words is "one hundred one trillion, two billion, eleven million, twelve thousand, thirty-two".