101103310000 has 200 divisors, whose sum is σ = 305184109824. Its totient is φ = 31512480000.

The previous prime is 101103309997. The next prime is 101103310003. The reversal of 101103310000 is 13301101.

It is an interprime number because it is at equal distance from previous prime (101103309997) and next prime (101103310003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×101103310000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101103310003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 704349 + ... + 835651.

Almost surely, 2^101103310000 is an apocalyptic number.

101103310000 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 101103310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152592054912).

101103310000 is an abundant number, since it is smaller than the sum of its proper divisors (204080799824).

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

101103310000 is a wasteful number, since it uses less digits than its factorization.

101103310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131349 (or 131328 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101103310000 its reverse (13301101), we get a palindrome (101116611101).

The spelling of 101103310000 in words is "one hundred one billion, one hundred three million, three hundred ten thousand".