100031230101000 has 768 divisors, whose sum is σ = 345757671866880. Its totient is φ = 24059033856000.

The previous prime is 100031230100999. The next prime is 100031230101029. The reversal of 100031230101000 is 101032130001.

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 191 ways as a sum of consecutive naturals, for example, 69130082277 + ... + 69130083723.

It is an arithmetic number, because the mean of its divisors is an integer number (450205301910).

Almost surely, 2^{100031230101000} is an apocalyptic number.

100031230101000 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 100031230101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172878835933440).

100031230101000 is an abundant number, since it is smaller than the sum of its proper divisors (245726441765880).

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

100031230101000 is a wasteful number, since it uses less digits than its factorization.

100031230101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2838 counting only the distinct ones).

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

Adding to 100031230101000 its reverse (101032130001), we get a palindrome (100132262231001).

The spelling of 100031230101000 in words is "one hundred trillion, thirty-one billion, two hundred thirty million, one hundred one thousand".