102120222102210 has 128 divisors (see below), whose sum is σ = 293271836578560. Its totient is φ = 25136984890368.

The previous prime is 102120222102209. The next prime is 102120222102211. The reversal of 102120222102210 is 12201222021201.

It is a happy number.

102120222102210 is a `hidden beast` number, since 1 + 0 + 21 + 202 + 221 + 0 + 221 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102120222102209) and next prime (102120222102211).

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

It is not an unprimeable number, because it can be changed into a prime (102120222102211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490969594 + ... + 491177546.

It is an arithmetic number, because the mean of its divisors is an integer number (2291186223270).

Almost surely, 2^{102120222102210} is an apocalyptic number.

102120222102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120222102210 is an abundant number, since it is smaller than the sum of its proper divisors (191151614476350).

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

102120222102210 is a wasteful number, since it uses less digits than its factorization.

102120222102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347889 (or 347883 counting only the distinct ones).

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

Adding to 102120222102210 its reverse (12201222021201), we get a palindrome (114321444123411).

The spelling of 102120222102210 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-two million, one hundred two thousand, two hundred ten".