102011110222212 has 36 divisors (see below), whose sum is σ = 257862013525116. Its totient is φ = 34003624811520.

The previous prime is 102011110222201. The next prime is 102011110222247. The reversal of 102011110222212 is 212222011110201.

102011110222212 is a `hidden beast` number, since 10 + 201 + 11 + 10 + 222 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64157312550276 + 37853797671936 = 8009826^2 + 6152544^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13725448 + ... + 19809344.

It is an arithmetic number, because the mean of its divisors is an integer number (7162833709031).

Almost surely, 2^{102011110222212} is an apocalyptic number.

102011110222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011110222212 is an abundant number, since it is smaller than the sum of its proper divisors (155850903302904).

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

102011110222212 is a wasteful number, since it uses less digits than its factorization.

102011110222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549668 (or 6549663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102011110222212 its reverse (212222011110201), we get a palindrome (314233121332413).

The spelling of 102011110222212 in words is "one hundred two trillion, eleven billion, one hundred ten million, two hundred twenty-two thousand, two hundred twelve".