101103001230000 has 800 divisors, whose sum is σ = 410641926520320. Its totient is φ = 20815626240000.

The previous prime is 101103001229987. The next prime is 101103001230013. The reversal of 101103001230000 is 32100301101.

It is an interprime number because it is at equal distance from previous prime (101103001229987) and next prime (101103001230013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 251589232 + ... + 251990768.

Almost surely, 2^{101103001230000} is an apocalyptic number.

101103001230000 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 101103001230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205320963260160).

101103001230000 is an abundant number, since it is smaller than the sum of its proper divisors (309538925290320).

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

101103001230000 is a wasteful number, since it uses less digits than its factorization.

101103001230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401695 (or 401674 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101103001230000 its reverse (32100301101), we get a palindrome (101135101531101).

The spelling of 101103001230000 in words is "one hundred one trillion, one hundred three billion, one million, two hundred thirty thousand".