102102122101120 has 128 divisors (see below), whose sum is σ = 249783062459040. Its totient is φ = 39888072720384.

The previous prime is 102102122101103. The next prime is 102102122101129. The reversal of 102102122101120 is 21101221201201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102102122101094 and 102102122101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102122101129) 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 15 ways as a sum of consecutive naturals, for example, 386716674 + ... + 386980606.

Almost surely, 2^{102102122101120} is an apocalyptic number.

102102122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102122101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124891531229520).

102102122101120 is an abundant number, since it is smaller than the sum of its proper divisors (147680940357920).

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

102102122101120 is a wasteful number, since it uses less digits than its factorization.

102102122101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278052 (or 278040 counting only the distinct ones).

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

Adding to 102102122101120 its reverse (21101221201201), we get a palindrome (123203343302321).

The spelling of 102102122101120 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".