102102012211011 has 64 divisors (see below), whose sum is σ = 148742118720000. Its totient is φ = 62052147505152.

The previous prime is 102102012210997. The next prime is 102102012211019. The reversal of 102102012211011 is 110112210201201.

It is a happy number.

It is not a de Polignac number, because 102102012211011 - 2¹³ = 102102012202819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102012211019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1436624785 + ... + 1436695853.

It is an arithmetic number, because the mean of its divisors is an integer number (2324095605000).

Almost surely, 2^{102102012211011} is an apocalyptic number.

102102012211011 is a deficient number, since it is larger than the sum of its proper divisors (46640106508989).

102102012211011 is a wasteful number, since it uses less digits than its factorization.

102102012211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74036.

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

Adding to 102102012211011 its reverse (110112210201201), we get a palindrome (212214222412212).

The spelling of 102102012211011 in words is "one hundred two trillion, one hundred two billion, twelve million, two hundred eleven thousand, eleven".