102121120111120 has 320 divisors, whose sum is σ = 263540932300800. Its totient is φ = 36492646400000.

The previous prime is 102121120111103. The next prime is 102121120111139. The reversal of 102121120111120 is 21111021121201.

It is a super-2 number, since 2×102121120111120² (a number of 29 digits) contains 22 as substring.

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 = 102121120111094 and 102121120111103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7825966356 + ... + 7825979404.

It is an arithmetic number, because the mean of its divisors is an integer number (823565413440).

Almost surely, 2^{102121120111120} is an apocalyptic number.

102121120111120 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 102121120111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131770466150400).

102121120111120 is an abundant number, since it is smaller than the sum of its proper divisors (161419812189680).

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

102121120111120 is a wasteful number, since it uses less digits than its factorization.

102121120111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826 (or 13820 counting only the distinct ones).

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

Adding to 102121120111120 its reverse (21111021121201), we get a palindrome (123232141232321).

The spelling of 102121120111120 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty".