102111020000121 has 64 divisors (see below), whose sum is σ = 150882785510400. Its totient is φ = 60910577568000.

The previous prime is 102111020000117. The next prime is 102111020000149. The reversal of 102111020000121 is 121000020111201.

It is not a de Polignac number, because 102111020000121 - 2² = 102111020000117 is a prime.

It is a super-2 number, since 2×102111020000121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102111020000097 and 102111020000106.

It is not an unprimeable number, because it can be changed into a prime (102111020040121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1944315955 + ... + 1944368471.

It is an arithmetic number, because the mean of its divisors is an integer number (2357543523600).

Almost surely, 2^{102111020000121} is an apocalyptic number.

102111020000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102111020000121 is a deficient number, since it is larger than the sum of its proper divisors (48771765510279).

102111020000121 is a wasteful number, since it uses less digits than its factorization.

102111020000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56070.

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

Adding to 102111020000121 its reverse (121000020111201), we get a palindrome (223111040111322).

The spelling of 102111020000121 in words is "one hundred two trillion, one hundred eleven billion, twenty million, one hundred twenty-one", and thus it is an aban number.