102112000001020 has 24 divisors (see below), whose sum is σ = 214447345230384. Its totient is φ = 40842486623616.

The previous prime is 102112000000987. The next prime is 102112000001021. The reversal of 102112000001020 is 20100000211201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102112000000988 and 102112000001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112000001021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144224082 + ... + 144930361.

It is an arithmetic number, because the mean of its divisors is an integer number (8935306051266).

Almost surely, 2^{102112000001020} is an apocalyptic number.

102112000001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112000001020 is an abundant number, since it is smaller than the sum of its proper divisors (112335345229364).

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

102112000001020 is a wasteful number, since it uses less digits than its factorization.

102112000001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289172109 (or 289172107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102112000001020 its reverse (20100000211201), we get a palindrome (122212000212221).

The spelling of 102112000001020 in words is "one hundred two trillion, one hundred twelve billion, one thousand, twenty".