102222000100220 has 384 divisors, whose sum is σ = 298221083596800. Its totient is φ = 28390731264000.

The previous prime is 102222000100217. The next prime is 102222000100243. The reversal of 102222000100220 is 22001000222201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102222000100195 and 102222000100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3542104151 + ... + 3542133009.

It is an arithmetic number, because the mean of its divisors is an integer number (776617405200).

Almost surely, 2^{102222000100220} is an apocalyptic number.

102222000100220 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 102222000100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149110541798400).

102222000100220 is an abundant number, since it is smaller than the sum of its proper divisors (195999083496580).

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

102222000100220 is a wasteful number, since it uses less digits than its factorization.

102222000100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35029 (or 35027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102222000100220 its reverse (22001000222201), we get a palindrome (124223000322421).

The spelling of 102222000100220 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred thousand, two hundred twenty".