101066152880 has 320 divisors, whose sum is σ = 315572944896. Its totient is φ = 29158272000.

The previous prime is 101066152867. The next prime is 101066152883. The reversal of 101066152880 is 88251660101.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (101066152883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4380575 + ... + 4403585.

Almost surely, 2^101066152880 is an apocalyptic number.

101066152880 is a gapful number since it is divisible by the number (10) 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 101066152880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157786472448).

101066152880 is an abundant number, since it is smaller than the sum of its proper divisors (214506792016).

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

101066152880 is a wasteful number, since it uses less digits than its factorization.

101066152880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23096 (or 23090 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The spelling of 101066152880 in words is "one hundred one billion, sixty-six million, one hundred fifty-two thousand, eight hundred eighty".