10122002121 has 32 divisors (see below), whose sum is σ = 17102048256. Its totient is φ = 5171976000.

The previous prime is 10122002087. The next prime is 10122002161. The reversal of 10122002121 is 12120022101.

It is not a de Polignac number, because 10122002121 - 2¹⁴ = 10121985737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122002097 and 10122002106.

It is not an unprimeable number, because it can be changed into a prime (10122002161) 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 31 ways as a sum of consecutive naturals, for example, 345075 + ... + 373256.

It is an arithmetic number, because the mean of its divisors is an integer number (534439008).

Almost surely, 2^10122002121 is an apocalyptic number.

10122002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122002121 is a deficient number, since it is larger than the sum of its proper divisors (6980046135).

10122002121 is a wasteful number, since it uses less digits than its factorization.

10122002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718413.

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

Adding to 10122002121 its reverse (12120022101), we get a palindrome (22242024222).

The spelling of 10122002121 in words is "ten billion, one hundred twenty-two million, two thousand, one hundred twenty-one".