102122311100 has 72 divisors (see below), whose sum is σ = 229266576000. Its totient is φ = 39442636800.

The previous prime is 102122311079. The next prime is 102122311103. The reversal of 102122311100 is 1113221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122311103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1355216 + ... + 1428584.

It is an arithmetic number, because the mean of its divisors is an integer number (3184258000).

Almost surely, 2^102122311100 is an apocalyptic number.

102122311100 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 102122311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114633288000).

102122311100 is an abundant number, since it is smaller than the sum of its proper divisors (127144264900).

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

102122311100 is a wasteful number, since it uses less digits than its factorization.

102122311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73863 (or 73856 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102122311100 its reverse (1113221201), we get a palindrome (103235532301).

The spelling of 102122311100 in words is "one hundred two billion, one hundred twenty-two million, three hundred eleven thousand, one hundred".