102011122211112 has 24 divisors (see below), whose sum is σ = 276280122655290. Its totient is φ = 34003707403680.

The previous prime is 102011122211077. The next prime is 102011122211113. The reversal of 102011122211112 is 211112221110201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82594179601956 + 19416942609156 = 9088134^2 + 4406466^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (102011122211113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 708410570839 + ... + 708410570982.

Almost surely, 2^{102011122211112} is an apocalyptic number.

102011122211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011122211112 is an abundant number, since it is smaller than the sum of its proper divisors (174269000444178).

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

102011122211112 is a wasteful number, since it uses less digits than its factorization.

102011122211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416821141833 (or 1416821141826 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102011122211112 its reverse (211112221110201), we get a palindrome (313123343321313).

The spelling of 102011122211112 in words is "one hundred two trillion, eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twelve".