101103112011000 has 2048 divisors, whose sum is σ = 379242646548480. Its totient is φ = 22151168000000.

The previous prime is 101103112010981. The next prime is 101103112011007. The reversal of 101103112011000 is 110211301101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103112011007) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 393397322872 + ... + 393397323128.

It is an arithmetic number, because the mean of its divisors is an integer number (185177073510).

Almost surely, 2^{101103112011000} is an apocalyptic number.

101103112011000 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 101103112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189621323274240).

101103112011000 is an abundant number, since it is smaller than the sum of its proper divisors (278139534537480).

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

101103112011000 is a wasteful number, since it uses less digits than its factorization.

101103112011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101103112011000 its reverse (110211301101), we get a palindrome (101213323312101).

It can be divided in two parts, 1011031 and 12011000, that added together give a palindrome (13022031).

The spelling of 101103112011000 in words is "one hundred one trillion, one hundred three billion, one hundred twelve million, eleven thousand".