102121001102112 has 72 divisors (see below), whose sum is σ = 270549529666416. Its totient is φ = 33728036684544.

The previous prime is 102121001102111. The next prime is 102121001102119. The reversal of 102121001102112 is 211201100121201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102121001102091 and 102121001102100.

It is not an unprimeable number, because it can be changed into a prime (102121001102111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43626718 + ... + 45907869.

It is an arithmetic number, because the mean of its divisors is an integer number (3757632356478).

Almost surely, 2^{102121001102112} is an apocalyptic number.

102121001102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121001102112 is an abundant number, since it is smaller than the sum of its proper divisors (168428528564304).

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

102121001102112 is an equidigital number, since it uses as much as digits as its factorization.

102121001102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89534818 (or 89534701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121001102112 its reverse (211201100121201), we get a palindrome (313322101223313).

The spelling of 102121001102112 in words is "one hundred two trillion, one hundred twenty-one billion, one million, one hundred two thousand, one hundred twelve".