102120120201121 has 16 divisors (see below), whose sum is σ = 112561578762048. Its totient is φ = 91872525672000.

The previous prime is 102120120201053. The next prime is 102120120201137. The reversal of 102120120201121 is 121102021021201.

It is a cyclic number.

It is not a de Polignac number, because 102120120201121 - 2⁷ = 102120120200993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120120201095 and 102120120201104.

It is not an unprimeable number, because it can be changed into a prime (102120120201221) 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, 20105211 + ... + 24666976.

It is an arithmetic number, because the mean of its divisors is an integer number (7035098672628).

Almost surely, 2^{102120120201121} is an apocalyptic number.

102120120201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102120120201121 is a deficient number, since it is larger than the sum of its proper divisors (10441458560927).

102120120201121 is a wasteful number, since it uses less digits than its factorization.

102120120201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44774352.

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

Adding to 102120120201121 its reverse (121102021021201), we get a palindrome (223222141222322).

The spelling of 102120120201121 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty million, two hundred one thousand, one hundred twenty-one".