102442210312000 has 896 divisors, whose sum is σ = 297943184867328. Its totient is φ = 34585334784000.

The previous prime is 102442210311979. The next prime is 102442210312009. The reversal of 102442210312000 is 213012244201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102442210312009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4834221405 + ... + 4834242595.

It is an arithmetic number, because the mean of its divisors is an integer number (332525875968).

Almost surely, 2^{102442210312000} is an apocalyptic number.

102442210312000 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 102442210312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148971592433664).

102442210312000 is an abundant number, since it is smaller than the sum of its proper divisors (195500974555328).

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

102442210312000 is a wasteful number, since it uses less digits than its factorization.

102442210312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21344 (or 21324 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102442210312000 its reverse (213012244201), we get a palindrome (102655222556201).

The spelling of 102442210312000 in words is "one hundred two trillion, four hundred forty-two billion, two hundred ten million, three hundred twelve thousand".