102222010010120 has 1024 divisors, whose sum is σ = 329837018112000. Its totient is φ = 27439175761920.

The previous prime is 102222010010117. The next prime is 102222010010123. The reversal of 102222010010120 is 21010010222201.

It is an interprime number because it is at equal distance from previous prime (102222010010117) and next prime (102222010010123).

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 = 102222010010095 and 102222010010104.

It is not an unprimeable number, because it can be changed into a prime (102222010010123) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60165985031 + ... + 60165986729.

It is an arithmetic number, because the mean of its divisors is an integer number (322106463000).

Almost surely, 2^{102222010010120} is an apocalyptic number.

102222010010120 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 102222010010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164918509056000).

102222010010120 is an abundant number, since it is smaller than the sum of its proper divisors (227615008101880).

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

102222010010120 is a wasteful number, since it uses less digits than its factorization.

102222010010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2474 counting only the distinct ones).

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

Adding to 102222010010120 its reverse (21010010222201), we get a palindrome (123232020232321).

It can be divided in two parts, 102 and 222010010120, that added together give a palindrome (222010010222).

The spelling of 102222010010120 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, ten thousand, one hundred twenty".