102210212120220 has 480 divisors, whose sum is σ = 330920790875136. Its totient is φ = 26394507072000.

The previous prime is 102210212120213. The next prime is 102210212120249. The reversal of 102210212120220 is 22021212012201.

It is a happy number.

102210212120220 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 21 + 212 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102210212120193 and 102210212120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14849656899 + ... + 14849663781.

Almost surely, 2^{102210212120220} is an apocalyptic number.

102210212120220 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 102210212120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165460395437568).

102210212120220 is an abundant number, since it is smaller than the sum of its proper divisors (228710578754916).

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

102210212120220 is a wasteful number, since it uses less digits than its factorization.

102210212120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8983 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102210212120220 its reverse (22021212012201), we get a palindrome (124231424132421).

The spelling of 102210212120220 in words is "one hundred two trillion, two hundred ten billion, two hundred twelve million, one hundred twenty thousand, two hundred twenty".