1002112001121 has 24 divisors (see below), whose sum is σ = 1695595819104. Its totient is φ = 520577662080.

The previous prime is 1002112001063. The next prime is 1002112001129. The reversal of 1002112001121 is 1211002112001.

It is not a de Polignac number, because 1002112001121 - 2⁶ = 1002112001057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002112001097 and 1002112001106.

It is not an unprimeable number, because it can be changed into a prime (1002112001129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309866040 + ... + 309869273.

It is an arithmetic number, because the mean of its divisors is an integer number (70649825796).

Almost surely, 2^{1002112001121} is an apocalyptic number.

1002112001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002112001121 is a deficient number, since it is larger than the sum of its proper divisors (693483817983).

1002112001121 is a wasteful number, since it uses less digits than its factorization.

1002112001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619735341 (or 619735334 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002112001121 its reverse (1211002112001), we get a palindrome (2213114113122).

It can be divided in two parts, 1002112001 and 121, that multiplied together give a palindrome (121255552121).

The spelling of 1002112001121 in words is "one trillion, two billion, one hundred twelve million, one thousand, one hundred twenty-one".