1002122121 has 96 divisors (see below), whose sum is σ = 1887621120. Its totient is φ = 459296640.

The previous prime is 1002122119. The next prime is 1002122141. The reversal of 1002122121 is 1212212001.

It is not a de Polignac number, because 1002122121 - 2¹ = 1002122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002122097 and 1002122106.

It is not an unprimeable number, because it can be changed into a prime (1002122141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 759100 + ... + 760418.

It is an arithmetic number, because the mean of its divisors is an integer number (19662720).

Almost surely, 2^1002122121 is an apocalyptic number.

1002122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002122121 is a deficient number, since it is larger than the sum of its proper divisors (885498999).

1002122121 is a wasteful number, since it uses less digits than its factorization.

1002122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1376 counting only the distinct ones).

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

The square root of 1002122121 is about 31656.3124984576. The cubic root of 1002122121 is about 1000.7068738783.

Adding to 1002122121 its reverse (1212212001), we get a palindrome (2214334122).

The spelling of 1002122121 in words is "one billion, two million, one hundred twenty-two thousand, one hundred twenty-one".