102212101002011 has 48 divisors (see below), whose sum is σ = 139694928242688. Its totient is φ = 73514740622400.

The previous prime is 102212101002001. The next prime is 102212101002071. The reversal of 102212101002011 is 110200101212201.

It is not a de Polignac number, because 102212101002011 - 2⁴² = 97814054490907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212101002001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117501476 + ... + 118368158.

It is an arithmetic number, because the mean of its divisors is an integer number (2910311005056).

Almost surely, 2^{102212101002011} is an apocalyptic number.

102212101002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102212101002011 is a deficient number, since it is larger than the sum of its proper divisors (37482827240677).

102212101002011 is a wasteful number, since it uses less digits than its factorization.

102212101002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883552 (or 883545 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102212101002011 its reverse (110200101212201), we get a palindrome (212412202214212).

The spelling of 102212101002011 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, two thousand, eleven".