102210002221120 has 112 divisors (see below), whose sum is σ = 249167146681728. Its totient is φ = 39914064691200.

The previous prime is 102210002221099. The next prime is 102210002221207. The reversal of 102210002221120 is 21122200012201.

It is a happy number.

It is a super-3 number, since 3×102210002221120³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102210002221094 and 102210002221103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26937520 + ... + 30496720.

Almost surely, 2^{102210002221120} is an apocalyptic number.

102210002221120 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 102210002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124583573340864).

102210002221120 is an abundant number, since it is smaller than the sum of its proper divisors (146957144460608).

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

102210002221120 is a wasteful number, since it uses less digits than its factorization.

102210002221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561348 (or 3561338 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102210002221120 its reverse (21122200012201), we get a palindrome (123332202233321).

The spelling of 102210002221120 in words is "one hundred two trillion, two hundred ten billion, two million, two hundred twenty-one thousand, one hundred twenty".