101103102000 has 240 divisors, whose sum is σ = 357961339008. Its totient is φ = 26591155200.

The previous prime is 101103101971. The next prime is 101103102007. The reversal of 101103102000 is 201301101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101103102007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1275529 + ... + 1352471.

Almost surely, 2^101103102000 is an apocalyptic number.

101103102000 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 101103102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178980669504).

101103102000 is an abundant number, since it is smaller than the sum of its proper divisors (256858237008).

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

101103102000 is a wasteful number, since it uses less digits than its factorization.

101103102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77045 (or 77026 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101103102000 its reverse (201301101), we get a palindrome (101304403101).

The spelling of 101103102000 in words is "one hundred one billion, one hundred three million, one hundred two thousand".