100240012031100 has 144 divisors (see below), whose sum is σ = 308093237020800. Its totient is φ = 25091463985920.

The previous prime is 100240012031077. The next prime is 100240012031101. The reversal of 100240012031100 is 1130210042001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100240012031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100240012031101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80048274 + ... + 81290873.

It is an arithmetic number, because the mean of its divisors is an integer number (2139536368200).

Almost surely, 2^{100240012031100} is an apocalyptic number.

100240012031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100240012031100 is an abundant number, since it is smaller than the sum of its proper divisors (207853224989700).

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

100240012031100 is a wasteful number, since it uses less digits than its factorization.

100240012031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161339292 (or 161339285 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100240012031100 its reverse (1130210042001), we get a palindrome (101370222073101).

The spelling of 100240012031100 in words is "one hundred trillion, two hundred forty billion, twelve million, thirty-one thousand, one hundred".