101067128832 has 144 divisors (see below), whose sum is σ = 278836266240. Its totient is φ = 32523681792.

The previous prime is 101067128831. The next prime is 101067128857. The reversal of 101067128832 is 238821760101.

It is not an unprimeable number, because it can be changed into a prime (101067128831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11398833 + ... + 11407695.

It is an arithmetic number, because the mean of its divisors is an integer number (1936362960).

Almost surely, 2^101067128832 is an apocalyptic number.

101067128832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101067128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139418133120).

101067128832 is an abundant number, since it is smaller than the sum of its proper divisors (177769137408).

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

101067128832 is an frugal number, since it uses more digits than its factorization.

101067128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

Adding to 101067128832 its reverse (238821760101), we get a palindrome (339888888933).

The spelling of 101067128832 in words is "one hundred one billion, sixty-seven million, one hundred twenty-eight thousand, eight hundred thirty-two".