102111131230020 has 192 divisors, whose sum is σ = 346565404442880. Its totient is φ = 24753755520000.

The previous prime is 102111131229953. The next prime is 102111131230021. The reversal of 102111131230020 is 20032131111201.

102111131230020 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 11 + 312 + 300 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102111131229975 and 102111131230002.

It is not an unprimeable number, because it can be changed into a prime (102111131230021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409741374 + ... + 409990506.

It is an arithmetic number, because the mean of its divisors is an integer number (1805028148140).

Almost surely, 2^{102111131230020} is an apocalyptic number.

102111131230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111131230020 is an abundant number, since it is smaller than the sum of its proper divisors (244454273212860).

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

102111131230020 is a wasteful number, since it uses less digits than its factorization.

102111131230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318163 (or 318155 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102111131230020 its reverse (20032131111201), we get a palindrome (122143262341221).

The spelling of 102111131230020 in words is "one hundred two trillion, one hundred eleven billion, one hundred thirty-one million, two hundred thirty thousand, twenty".