102210122202210 has 384 divisors, whose sum is σ = 308535832200960. Its totient is φ = 23240048025600.

The previous prime is 102210122202121. The next prime is 102210122202229. The reversal of 102210122202210 is 12202221012201.

It is a happy number.

102210122202210 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 12 + 220 + 221 + 0 = 666.

It is a super-3 number, since 3×102210122202210³ (a number of 43 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274080297 + ... + 274452963.

It is an arithmetic number, because the mean of its divisors is an integer number (803478729690).

Almost surely, 2^{102210122202210} is an apocalyptic number.

102210122202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210122202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154267916100480).

102210122202210 is an abundant number, since it is smaller than the sum of its proper divisors (206325709998750).

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

102210122202210 is a wasteful number, since it uses less digits than its factorization.

102210122202210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372994 (or 372991 counting only the distinct ones).

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

Adding to 102210122202210 its reverse (12202221012201), we get a palindrome (114412343214411).

The spelling of 102210122202210 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-two million, two hundred two thousand, two hundred ten".