102220122221210 has 48 divisors (see below), whose sum is σ = 215145416371176. Its totient is φ = 34865308864512.

The previous prime is 102220122221207. The next prime is 102220122221213. The reversal of 102220122221210 is 12122221022201.

It is an interprime number because it is at equal distance from previous prime (102220122221207) and next prime (102220122221213).

It can be written as a sum of positive squares in 4 ways, for example, as 39275050854361 + 62945071366849 = 6266981^2 + 7933793^2 .

It is a super-3 number, since 3×102220122221210³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102220122221213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540352307 + ... + 540541446.

Almost surely, 2^{102220122221210} is an apocalyptic number.

102220122221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102220122221210 is an abundant number, since it is smaller than the sum of its proper divisors (112925294149966).

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

102220122221210 is a wasteful number, since it uses less digits than its factorization.

102220122221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080893967 (or 1080893960 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102220122221210 its reverse (12122221022201), we get a palindrome (114342343243411).

The spelling of 102220122221210 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred ten".