102001121220000 has 240 divisors, whose sum is σ = 343626898218912. Its totient is φ = 26465155200000.

The previous prime is 102001121219983. The next prime is 102001121220007. The reversal of 102001121220000 is 22121100201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (102001121220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20753226 + ... + 25193225.

Almost surely, 2^{102001121220000} is an apocalyptic number.

102001121220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001121220000 is an abundant number, since it is smaller than the sum of its proper divisors (241625776998912).

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

102001121220000 is an equidigital number, since it uses as much as digits as its factorization.

102001121220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45946521 (or 45946498 counting only the distinct ones).

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

Adding to 102001121220000 its reverse (22121100201), we get a palindrome (102023242320201).

The spelling of 102001121220000 in words is "one hundred two trillion, one billion, one hundred twenty-one million, two hundred twenty thousand".