20101022128432 has 320 divisors, whose sum is σ = 46455609507840. Its totient is φ = 8247188275200.

The previous prime is 20101022128391. The next prime is 20101022128459. The reversal of 20101022128432 is 23482122010102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20101022128432.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47745895582 + ... + 47745896002.

It is an arithmetic number, because the mean of its divisors is an integer number (145173779712).

Almost surely, 2^{20101022128432} 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 20101022128432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227804753920).

20101022128432 is an abundant number, since it is smaller than the sum of its proper divisors (26354587379408).

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

20101022128432 is a wasteful number, since it uses less digits than its factorization.

20101022128432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 20101022128432 its reverse (23482122010102), we get a palindrome (43583144138534).

The spelling of 20101022128432 in words is "twenty trillion, one hundred one billion, twenty-two million, one hundred twenty-eight thousand, four hundred thirty-two".