102001201220000 has 240 divisors, whose sum is σ = 265838496256872. Its totient is φ = 38380339200000.

The previous prime is 102001201219933. The next prime is 102001201220011. The reversal of 102001201220000 is 22102100201.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 29989073107984 + 72012128112016 = 5476228^2 + 8485996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 657142400 + ... + 657297600.

Almost surely, 2^{102001201220000} is an apocalyptic number.

102001201220000 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 102001201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132919248128436).

102001201220000 is an abundant number, since it is smaller than the sum of its proper divisors (163837295036872).

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

102001201220000 is a wasteful number, since it uses less digits than its factorization.

102001201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157181 (or 157158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102001201220000 its reverse (22102100201), we get a palindrome (102023303320201).

The spelling of 102001201220000 in words is "one hundred two trillion, one billion, two hundred one million, two hundred twenty thousand".