2122121001 has 96 divisors (see below), whose sum is σ = 4022369280. Its totient is φ = 963705600.

The previous prime is 2122120991. The next prime is 2122121003. The reversal of 2122121001 is 1001212212.

It is not a de Polignac number, because 2122121001 - 2⁵ = 2122120969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122121003) 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, 740311 + ... + 743171.

It is an arithmetic number, because the mean of its divisors is an integer number (41899680).

Almost surely, 2^2122121001 is an apocalyptic number.

2122121001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122121001 is a deficient number, since it is larger than the sum of its proper divisors (1900248279).

2122121001 is a wasteful number, since it uses less digits than its factorization.

2122121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2914 counting only the distinct ones).

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

The square root of 2122121001 is about 46066.4845739286. The cubic root of 2122121001 is about 1285.0599276608.

Adding to 2122121001 its reverse (1001212212), we get a palindrome (3123333213).

It can be divided in two parts, 212212 and 1001, that multiplied together give a palindrome (212424212).

The spelling of 2122121001 in words is "two billion, one hundred twenty-two million, one hundred twenty-one thousand, one".