102102201120000 has 360 divisors, whose sum is σ = 339711597441216. Its totient is φ = 27215679488000.

The previous prime is 102102201119987. The next prime is 102102201120037. The reversal of 102102201120000 is 21102201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1160115997 + ... + 1160204003.

Almost surely, 2^{102102201120000} is an apocalyptic number.

102102201120000 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 102102201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169855798720608).

102102201120000 is an abundant number, since it is smaller than the sum of its proper divisors (237609396321216).

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

102102201120000 is an frugal number, since it uses more digits than its factorization.

102102201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90463 (or 90434 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102201120000 its reverse (21102201201), we get a palindrome (102123303321201).

It can be divided in two parts, 102102201 and 120000, that added together give a palindrome (102222201).

The spelling of 102102201120000 in words is "one hundred two trillion, one hundred two billion, two hundred one million, one hundred twenty thousand".