260101020000 has 480 divisors, whose sum is σ = 942732628992. Its totient is φ = 62436352000.

The previous prime is 260101019993. The next prime is 260101020037. The reversal of 260101020000 is 20101062.

260101020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 510001²-1.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 23454457 + ... + 23465543.

Almost surely, 2^260101020000 is an apocalyptic number.

260101020000 is a gapful number since it is divisible by the number (20) 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 260101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471366314496).

260101020000 is an abundant number, since it is smaller than the sum of its proper divisors (682631608992).

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

260101020000 is a wasteful number, since it uses less digits than its factorization.

260101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 260101020000 its reverse (20101062), we get a palindrome (260121121062).

The spelling of 260101020000 in words is "two hundred sixty billion, one hundred one million, twenty thousand".