100102313011100 has 288 divisors, whose sum is σ = 228248592988416. Its totient is φ = 38074879180800.

The previous prime is 100102313011061. The next prime is 100102313011117. The reversal of 100102313011100 is 1110313201001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8499808412 + ... + 8499820188.

Almost surely, 2^{100102313011100} is an apocalyptic number.

100102313011100 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 100102313011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114124296494208).

100102313011100 is an abundant number, since it is smaller than the sum of its proper divisors (128146279977316).

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

100102313011100 is a wasteful number, since it uses less digits than its factorization.

100102313011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12245 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100102313011100 its reverse (1110313201001), we get a palindrome (101212626212101).

The spelling of 100102313011100 in words is "one hundred trillion, one hundred two billion, three hundred thirteen million, eleven thousand, one hundred".