102102210212120 has 64 divisors (see below), whose sum is σ = 244538114508000. Its totient is φ = 38256629419008.

The previous prime is 102102210212099. The next prime is 102102210212143. The reversal of 102102210212120 is 21212012201201.

It is a super-2 number, since 2×102102210212120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754679627 + ... + 754814906.

Almost surely, 2^{102102210212120} is an apocalyptic number.

102102210212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102210212120 is an abundant number, since it is smaller than the sum of its proper divisors (142435904295880).

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

102102210212120 is a wasteful number, since it uses less digits than its factorization.

102102210212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509494652 (or 1509494648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102102210212120 its reverse (21212012201201), we get a palindrome (123314222413321).

The spelling of 102102210212120 in words is "one hundred two trillion, one hundred two billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".