101102144000 has 320 divisors, whose sum is σ = 296205541632. Its totient is φ = 33933312000.

The previous prime is 101102143957. The next prime is 101102144047. The reversal of 101102144000 is 441201101.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9146477 + ... + 9157523.

Almost surely, 2^101102144000 is an apocalyptic number.

101102144000 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 101102144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148102770816).

101102144000 is an abundant number, since it is smaller than the sum of its proper divisors (195103397632).

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

101102144000 is a wasteful number, since it uses less digits than its factorization.

101102144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101102144000 its reverse (441201101), we get a palindrome (101543345101).

The spelling of 101102144000 in words is "one hundred one billion, one hundred two million, one hundred forty-four thousand".