101112002880 has 448 divisors, whose sum is σ = 372925969920. Its totient is φ = 22734176256.

The previous prime is 101112002879. The next prime is 101112002911. The reversal of 101112002880 is 88200211101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101112002880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175237152 + ... + 175237728.

It is an arithmetic number, because the mean of its divisors is an integer number (832424040).

Almost surely, 2^101112002880 is an apocalyptic number.

101112002880 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 101112002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186462984960).

101112002880 is an abundant number, since it is smaller than the sum of its proper divisors (271813967040).

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

101112002880 is a wasteful number, since it uses less digits than its factorization.

101112002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 101112002880 its reverse (88200211101), we get a palindrome (189312213981).

The spelling of 101112002880 in words is "one hundred one billion, one hundred twelve million, two thousand, eight hundred eighty".