102012111102012 has 12 divisors (see below), whose sum is σ = 238028259238056. Its totient is φ = 34004037034000.

The previous prime is 102012111101977. The next prime is 102012111102019. The reversal of 102012111102012 is 210201111210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×102012111102012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012111101982 and 102012111102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012111102019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4250504629239 + ... + 4250504629262.

It is an arithmetic number, because the mean of its divisors is an integer number (19835688269838).

Almost surely, 2^{102012111102012} is an apocalyptic number.

102012111102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102012111102012 is an abundant number, since it is smaller than the sum of its proper divisors (136016148136044).

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

102012111102012 is a wasteful number, since it uses less digits than its factorization.

102012111102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501009258508 (or 8501009258506 counting only the distinct ones).

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

Adding to 102012111102012 its reverse (210201111210201), we get a palindrome (312213222312213).

The spelling of 102012111102012 in words is "one hundred two trillion, twelve billion, one hundred eleven million, one hundred two thousand, twelve".