102102202212010 has 192 divisors, whose sum is σ = 251924162200704. Its totient is φ = 29287302105600.

The previous prime is 102102202211953. The next prime is 102102202212053. The reversal of 102102202212010 is 10212202201201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20992044 + ... + 25394296.

It is an arithmetic number, because the mean of its divisors is an integer number (1312105011462).

Almost surely, 2^{102102202212010} is an apocalyptic number.

102102202212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102102202212010 is an abundant number, since it is smaller than the sum of its proper divisors (149821959988694).

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

102102202212010 is a wasteful number, since it uses less digits than its factorization.

102102202212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402629 (or 4402622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102102202212010 its reverse (10212202201201), we get a palindrome (112314404413211).

The spelling of 102102202212010 in words is "one hundred two trillion, one hundred two billion, two hundred two million, two hundred twelve thousand, ten".