102222001222000 has 640 divisors, whose sum is σ = 280240119484416. Its totient is φ = 35740544000000.

The previous prime is 102222001221929. The next prime is 102222001222001. The reversal of 102222001222000 is 222100222201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222001222001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20680151529 + ... + 20680156471.

Almost surely, 2^{102222001222000} is an apocalyptic number.

102222001222000 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 102222001222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140120059742208).

102222001222000 is an abundant number, since it is smaller than the sum of its proper divisors (178018118262416).

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

102222001222000 is a wasteful number, since it uses less digits than its factorization.

102222001222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102222001222000 its reverse (222100222201), we get a palindrome (102444101444201).

The spelling of 102222001222000 in words is "one hundred two trillion, two hundred twenty-two billion, one million, two hundred twenty-two thousand".