102132210011104 has 288 divisors, whose sum is σ = 260687848103424. Its totient is φ = 38493202176000.

The previous prime is 102132210011089. The next prime is 102132210011123. The reversal of 102132210011104 is 401110012231201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218309022 + ... + 218776354.

It is an arithmetic number, because the mean of its divisors is an integer number (905166139248).

Almost surely, 2^{102132210011104} is an apocalyptic number.

102132210011104 is a gapful number since it is divisible by the number (14) 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 102132210011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130343924051712).

102132210011104 is an abundant number, since it is smaller than the sum of its proper divisors (158555638092320).

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

102132210011104 is a wasteful number, since it uses less digits than its factorization.

102132210011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467650 (or 467629 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 102132210011104 its reverse (401110012231201), we get a palindrome (503242222242305).

The spelling of 102132210011104 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred ten million, eleven thousand, one hundred four".