102112211201011 has 8 divisors (see below), whose sum is σ = 117947794756464. Its totient is φ = 87368736856320.

The previous prime is 102112211200997. The next prime is 102112211201081. The reversal of 102112211201011 is 110102112211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102112211201011 - 2⁹ = 102112211200499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112211201081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273027302490 + ... + 273027302863.

It is an arithmetic number, because the mean of its divisors is an integer number (14743474344558).

Almost surely, 2^{102112211201011} is an apocalyptic number.

102112211201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102112211201011 is a deficient number, since it is larger than the sum of its proper divisors (15835583555453).

102112211201011 is a wasteful number, since it uses less digits than its factorization.

102112211201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546054605381.

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

Adding to 102112211201011 its reverse (110102112211201), we get a palindrome (212214323412212).

The spelling of 102112211201011 in words is "one hundred two trillion, one hundred twelve billion, two hundred eleven million, two hundred one thousand, eleven".