102100121211 has 32 divisors (see below), whose sum is σ = 159910329600. Its totient is φ = 57251809280.

The previous prime is 102100121209. The next prime is 102100121243. The reversal of 102100121211 is 112121001201.

It is a cyclic number.

It is not a de Polignac number, because 102100121211 - 2¹ = 102100121209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100161211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509246 + ... + 1575443.

It is an arithmetic number, because the mean of its divisors is an integer number (4997197800).

Almost surely, 2^102100121211 is an apocalyptic number.

102100121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102100121211 is a deficient number, since it is larger than the sum of its proper divisors (57810208389).

102100121211 is a wasteful number, since it uses less digits than its factorization.

102100121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084779.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102100121211 its reverse (112121001201), we get a palindrome (214221122412).

The spelling of 102100121211 in words is "one hundred two billion, one hundred million, one hundred twenty-one thousand, two hundred eleven".