102100121211121 has 8 divisors (see below), whose sum is σ = 117244158328800. Its totient is φ = 87933118746240.

The previous prime is 102100121211091. The next prime is 102100121211203. The reversal of 102100121211121 is 121112121001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100121211121 - 2⁷ = 102100121210993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100121211095 and 102100121211104.

It is not an unprimeable number, because it can be changed into a prime (102100121215121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244258662976 + ... + 244258663393.

It is an arithmetic number, because the mean of its divisors is an integer number (14655519791100).

Almost surely, 2^{102100121211121} is an apocalyptic number.

102100121211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100121211121 is a deficient number, since it is larger than the sum of its proper divisors (15144037117679).

102100121211121 is a wasteful number, since it uses less digits than its factorization.

102100121211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488517326399.

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

Adding to 102100121211121 its reverse (121112121001201), we get a palindrome (223212242212322).

The spelling of 102100121211121 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".