102101112210102 has 64 divisors (see below), whose sum is σ = 211867231328256. Its totient is φ = 32767832897280.

The previous prime is 102101112210017. The next prime is 102101112210169. The reversal of 102101112210102 is 201012211101201.

It is a happy number.

It is a super-2 number, since 2×102101112210102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28771368 + ... + 32124660.

It is an arithmetic number, because the mean of its divisors is an integer number (3310425489504).

Almost surely, 2^{102101112210102} is an apocalyptic number.

102101112210102 is an abundant number, since it is smaller than the sum of its proper divisors (109766119118154).

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

102101112210102 is a wasteful number, since it uses less digits than its factorization.

102101112210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354165.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101112210102 its reverse (201012211101201), we get a palindrome (303113323311303).

The spelling of 102101112210102 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred two".