102021201120000 has 720 divisors, whose sum is σ = 352066471440992. Its totient is φ = 26197032960000.

The previous prime is 102021201119993. The next prime is 102021201120253. The reversal of 102021201120000 is 21102120201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1722690390 + ... + 1722749610.

Almost surely, 2^{102021201120000} is an apocalyptic number.

102021201120000 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 102021201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033235720496).

102021201120000 is an abundant number, since it is smaller than the sum of its proper divisors (250045270320992).

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

102021201120000 is an frugal number, since it uses more digits than its factorization.

102021201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59394 (or 59365 counting only the distinct ones).

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

Adding to 102021201120000 its reverse (21102120201), we get a palindrome (102042303240201).

It can be divided in two parts, 102021201 and 120000, that added together give a palindrome (102141201).

The spelling of 102021201120000 in words is "one hundred two trillion, twenty-one billion, two hundred one million, one hundred twenty thousand".