102222201011000 has 256 divisors, whose sum is σ = 276154333378560. Its totient is φ = 34691363865600.

The previous prime is 102222201010987. The next prime is 102222201011003. The reversal of 102222201011000 is 110102222201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222201011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 915971204 + ... + 916082796.

It is an arithmetic number, because the mean of its divisors is an integer number (1078727864760).

Almost surely, 2^{102222201011000} is an apocalyptic number.

102222201011000 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 102222201011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138077166689280).

102222201011000 is an abundant number, since it is smaller than the sum of its proper divisors (173932132367560).

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

102222201011000 is a wasteful number, since it uses less digits than its factorization.

102222201011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112951 (or 112937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102222201011000 its reverse (110102222201), we get a palindrome (102332303233201).

The spelling of 102222201011000 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred one million, eleven thousand".