102210120221020 has 48 divisors (see below), whose sum is σ = 245415437568000. Its totient is φ = 35027591356224.

The previous prime is 102210120220969. The next prime is 102210120221089. The reversal of 102210120221020 is 20122021012201.

It is a happy number.

It is a super-3 number, since 3×102210120221020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102210120220985 and 102210120221003.

It is a congruent number.

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, 165090270 + ... + 165708229.

It is an arithmetic number, because the mean of its divisors is an integer number (5112821616000).

Almost surely, 2^{102210120221020} is an apocalyptic number.

102210120221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210120221020 is an abundant number, since it is smaller than the sum of its proper divisors (143205317346980).

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

102210120221020 is a wasteful number, since it uses less digits than its factorization.

102210120221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330800722 (or 330800720 counting only the distinct ones).

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

Adding to 102210120221020 its reverse (20122021012201), we get a palindrome (122332141233221).

The spelling of 102210120221020 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, two hundred twenty-one thousand, twenty".