101103114000 has 320 divisors, whose sum is σ = 394437468672. Its totient is φ = 21749760000.

The previous prime is 101103113977. The next prime is 101103114059. The reversal of 101103114000 is 411301101.

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

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 63 ways as a sum of consecutive naturals, for example, 643200 + ... + 784800.

Almost surely, 2^101103114000 is an apocalyptic number.

101103114000 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 101103114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197218734336).

101103114000 is an abundant number, since it is smaller than the sum of its proper divisors (293334354672).

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

101103114000 is a wasteful number, since it uses less digits than its factorization.

101103114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141651 (or 141635 counting only the distinct ones).

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

Adding to 101103114000 its reverse (411301101), we get a palindrome (101514415101).

The spelling of 101103114000 in words is "one hundred one billion, one hundred three million, one hundred fourteen thousand".