102201002211000 has 1536 divisors, whose sum is σ = 418648722186240. Its totient is φ = 20512128000000.

The previous prime is 102201002210969. The next prime is 102201002211001. The reversal of 102201002211000 is 112200102201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201002211001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6695989369 + ... + 6696004631.

It is an arithmetic number, because the mean of its divisors is an integer number (272557761840).

Almost surely, 2^{102201002211000} is an apocalyptic number.

102201002211000 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 102201002211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209324361093120).

102201002211000 is an abundant number, since it is smaller than the sum of its proper divisors (316447719975240).

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

102201002211000 is a wasteful number, since it uses less digits than its factorization.

102201002211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15454 (or 15433 counting only the distinct ones).

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

Adding to 102201002211000 its reverse (112200102201), we get a palindrome (102313202313201).

The spelling of 102201002211000 in words is "one hundred two trillion, two hundred one billion, two million, two hundred eleven thousand".