102311011100 has 144 divisors (see below), whose sum is σ = 233952213600. Its totient is φ = 38782033920.

The previous prime is 102311011093. The next prime is 102311011109. The reversal of 102311011100 is 1110113201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311011109) 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, 48054836 + ... + 48056964.

It is an arithmetic number, because the mean of its divisors is an integer number (1624668150).

Almost surely, 2^102311011100 is an apocalyptic number.

102311011100 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 102311011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116976106800).

102311011100 is an abundant number, since it is smaller than the sum of its proper divisors (131641202500).

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

102311011100 is a wasteful number, since it uses less digits than its factorization.

102311011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 102311011100 its reverse (1110113201), we get a palindrome (103421124301).

The spelling of 102311011100 in words is "one hundred two billion, three hundred eleven million, eleven thousand, one hundred".