102100212121011 has 16 divisors (see below), whose sum is σ = 146607598685184. Its totient is φ = 62829971525664.

The previous prime is 102100212120919. The next prime is 102100212121021. The reversal of 102100212121011 is 110121212001201.

It is a happy number.

It is not a de Polignac number, because 102100212121011 - 2²³ = 102100203732403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100212121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16659981 + ... + 21948926.

It is an arithmetic number, because the mean of its divisors is an integer number (9162974917824).

Almost surely, 2^{102100212121011} is an apocalyptic number.

102100212121011 is a deficient number, since it is larger than the sum of its proper divisors (44507386564173).

102100212121011 is a wasteful number, since it uses less digits than its factorization.

102100212121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38676730.

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

Adding to 102100212121011 its reverse (110121212001201), we get a palindrome (212221424122212).

The spelling of 102100212121011 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, eleven".