1002100022121 has 32 divisors (see below), whose sum is σ = 1466646445440. Its totient is φ = 603566988800.

The previous prime is 1002100022107. The next prime is 1002100022129. The reversal of 1002100022121 is 1212200012001.

It is a cyclic number.

It is not a de Polignac number, because 1002100022121 - 2²³ = 1002091633513 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002100022097 and 1002100022106.

It is not an unprimeable number, because it can be changed into a prime (1002100022129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13899715 + ... + 13971623.

It is an arithmetic number, because the mean of its divisors is an integer number (45832701420).

Almost surely, 2^{1002100022121} is an apocalyptic number.

1002100022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002100022121 is a deficient number, since it is larger than the sum of its proper divisors (464546423319).

1002100022121 is a wasteful number, since it uses less digits than its factorization.

1002100022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74537.

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

Adding to 1002100022121 its reverse (1212200012001), we get a palindrome (2214300034122).

The spelling of 1002100022121 in words is "one trillion, two billion, one hundred million, twenty-two thousand, one hundred twenty-one".