101411103000000 has 392 divisors, whose sum is σ = 355120910956656. Its totient is φ = 25452185600000.

The previous prime is 101411102999957. The next prime is 101411103000019. The reversal of 101411103000000 is 301114101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101411103000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50005774 + ... + 51994226.

Almost surely, 2^{101411103000000} is an apocalyptic number.

101411103000000 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 101411103000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177560455478328).

101411103000000 is an abundant number, since it is smaller than the sum of its proper divisors (253709807956656).

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

101411103000000 is an frugal number, since it uses more digits than its factorization.

101411103000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988515 (or 1988480 counting only the distinct ones).

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

Adding to 101411103000000 its reverse (301114101), we get a palindrome (101411404114101).

The spelling of 101411103000000 in words is "one hundred one trillion, four hundred eleven billion, one hundred three million", and thus it is an aban number.