102131001120 has 192 divisors, whose sum is σ = 325273003776. Its totient is φ = 26935050240.

The previous prime is 102131001109. The next prime is 102131001121. The reversal of 102131001120 is 21100131201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102131001096 and 102131001105.

It is not an unprimeable number, because it can be changed into a prime (102131001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18475797 + ... + 18481323.

It is an arithmetic number, because the mean of its divisors is an integer number (1694130228).

Almost surely, 2^102131001120 is an apocalyptic number.

102131001120 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 102131001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162636501888).

102131001120 is an abundant number, since it is smaller than the sum of its proper divisors (223142002656).

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

102131001120 is a wasteful number, since it uses less digits than its factorization.

102131001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102131001120 its reverse (21100131201), we get a palindrome (123231132321).

The spelling of 102131001120 in words is "one hundred two billion, one hundred thirty-one million, one thousand, one hundred twenty".