102100021122121 has 8 divisors (see below), whose sum is σ = 111384773321184. Its totient is φ = 92815757605920.

The previous prime is 102100021122097. The next prime is 102100021122251. The reversal of 102100021122121 is 121221120001201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102100021122121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100021122095 and 102100021122104.

It is not an unprimeable number, because it can be changed into a prime (102100021152121) 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, 121733791 + ... + 122569636.

It is an arithmetic number, because the mean of its divisors is an integer number (13923096665148).

Almost surely, 2^{102100021122121} is an apocalyptic number.

102100021122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100021122121 is a deficient number, since it is larger than the sum of its proper divisors (9284752199063).

102100021122121 is a wasteful number, since it uses less digits than its factorization.

102100021122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244341431.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102100021122121 its reverse (121221120001201), we get a palindrome (223321141123322).

The spelling of 102100021122121 in words is "one hundred two trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".