1002020000172 has 48 divisors (see below), whose sum is σ = 2518400919552. Its totient is φ = 309178679040.

The previous prime is 1002020000161. The next prime is 1002020000173. The reversal of 1002020000172 is 2710000202001.

1002020000172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1002020000173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58548013 + ... + 58565124.

It is an arithmetic number, because the mean of its divisors is an integer number (52466685824).

Almost surely, 2^{1002020000172} is an apocalyptic number.

1002020000172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002020000172 is an abundant number, since it is smaller than the sum of its proper divisors (1516380919380).

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

1002020000172 is a wasteful number, since it uses less digits than its factorization.

1002020000172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117113198 (or 117113196 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 1002020000172 its reverse (2710000202001), we get a palindrome (3712020202173).

The spelling of 1002020000172 in words is "one trillion, two billion, twenty million, one hundred seventy-two", and thus it is an aban number.