1001101400000 has 168 divisors, whose sum is σ = 2674051974720. Its totient is φ = 369636480000.

The previous prime is 1001101399981. The next prime is 1001101400009. The reversal of 1001101400000 is 41011001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101400009) 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, 2407481 + ... + 2792519.

It is an arithmetic number, because the mean of its divisors is an integer number (15916976040).

Almost surely, 2^{1001101400000} is an apocalyptic number.

1001101400000 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 1001101400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337025987360).

1001101400000 is an abundant number, since it is smaller than the sum of its proper divisors (1672950574720).

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

1001101400000 is an frugal number, since it uses more digits than its factorization.

1001101400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385089 (or 385059 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001101400000 its reverse (41011001), we get a palindrome (1001142411001).

The spelling of 1001101400000 in words is "one trillion, one billion, one hundred one million, four hundred thousand".