102101101121120 has 24 divisors (see below), whose sum is σ = 241213851399024. Its totient is φ = 40840440448384.

The previous prime is 102101101121029. The next prime is 102101101121147. The reversal of 102101101121120 is 21121101101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101101121095 and 102101101121104.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 319065940844 + ... + 319065941163.

It is an arithmetic number, because the mean of its divisors is an integer number (10050577141626).

Almost surely, 2^{102101101121120} is an apocalyptic number.

102101101121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101101121120 is an abundant number, since it is smaller than the sum of its proper divisors (139112750277904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101101121120 is an equidigital number, since it uses as much as digits as its factorization.

102101101121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638131882022 (or 638131882014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101101121120 its reverse (21121101101201), we get a palindrome (123222202222321).

The spelling of 102101101121120 in words is "one hundred two trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".