102012002110020 has 48 divisors (see below), whose sum is σ = 286534658346048. Its totient is φ = 27117386044800.

The previous prime is 102012002110009. The next prime is 102012002110021. The reversal of 102012002110020 is 20011200210201.

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 = 102012002109978 and 102012002110005.

It is not an unprimeable number, because it can be changed into a prime (102012002110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2681684506 + ... + 2681722545.

It is an arithmetic number, because the mean of its divisors is an integer number (5969472048876).

Almost surely, 2^{102012002110020} is an apocalyptic number.

102012002110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012002110020 is an abundant number, since it is smaller than the sum of its proper divisors (184522656236028).

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

102012002110020 is a wasteful number, since it uses less digits than its factorization.

102012002110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363407380 (or 5363407378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012002110020 its reverse (20011200210201), we get a palindrome (122023202320221).

The spelling of 102012002110020 in words is "one hundred two trillion, twelve billion, two million, one hundred ten thousand, twenty".