101078088880 has 120 divisors (see below), whose sum is σ = 242911796400. Its totient is φ = 39113487360.

The previous prime is 101078088871. The next prime is 101078088883. The reversal of 101078088880 is 88880870101.

It is not an unprimeable number, because it can be changed into a prime (101078088883) 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, 19820571 + ... + 19825669.

It is an arithmetic number, because the mean of its divisors is an integer number (2024264970).

Almost surely, 2^101078088880 is an apocalyptic number.

101078088880 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 101078088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121455898200).

101078088880 is an abundant number, since it is smaller than the sum of its proper divisors (141833707520).

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

101078088880 is a wasteful number, since it uses less digits than its factorization.

101078088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 49.

The spelling of 101078088880 in words is "one hundred one billion, seventy-eight million, eighty-eight thousand, eight hundred eighty".