101011014000 has 240 divisors, whose sum is σ = 379936974144. Its totient is φ = 24864192000.

The previous prime is 101011013989. The next prime is 101011014023. The reversal of 101011014000 is 410110101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18165 + ... + 449835.

Almost surely, 2^101011014000 is an apocalyptic number.

101011014000 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 101011014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189968487072).

101011014000 is an abundant number, since it is smaller than the sum of its proper divisors (278925960144).

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

101011014000 is a wasteful number, since it uses less digits than its factorization.

101011014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431713 (or 431694 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011014000 its reverse (410110101), we get a palindrome (101421124101).

The spelling of 101011014000 in words is "one hundred one billion, eleven million, fourteen thousand".