102100121211011 has 16 divisors (see below), whose sum is σ = 128004795383040. Its totient is φ = 79114074902880.

The previous prime is 102100121211001. The next prime is 102100121211013. The reversal of 102100121211011 is 110112121001201.

It is a cyclic number.

It is not a de Polignac number, because 102100121211011 - 2²² = 102100117016707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100121211013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3703828676 + ... + 3703856241.

It is an arithmetic number, because the mean of its divisors is an integer number (8000299711440).

Almost surely, 2^{102100121211011} is an apocalyptic number.

102100121211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102100121211011 is a deficient number, since it is larger than the sum of its proper divisors (25904674172029).

102100121211011 is a wasteful number, since it uses less digits than its factorization.

102100121211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407685114.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102100121211011 its reverse (110112121001201), we get a palindrome (212212242212212).

The spelling of 102100121211011 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, two hundred eleven thousand, eleven".