102211102101012 has 24 divisors (see below), whose sum is σ = 238492836691200. Its totient is φ = 34070329492416.

The previous prime is 102211102101001. The next prime is 102211102101019. The reversal of 102211102101012 is 210101201112201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102211102100982 and 102211102101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211102101019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7847664 + ... + 16309752.

It is an arithmetic number, because the mean of its divisors is an integer number (9937201528800).

Almost surely, 2^{102211102101012} is an apocalyptic number.

102211102101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211102101012 is an abundant number, since it is smaller than the sum of its proper divisors (136281734590188).

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

102211102101012 is a wasteful number, since it uses less digits than its factorization.

102211102101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468655 (or 9468653 counting only the distinct ones).

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

Adding to 102211102101012 its reverse (210101201112201), we get a palindrome (312312303213213).

The spelling of 102211102101012 in words is "one hundred two trillion, two hundred eleven billion, one hundred two million, one hundred one thousand, twelve".