101112002121 has 16 divisors (see below), whose sum is σ = 145211766336. Its totient is φ = 62211926976.

The previous prime is 101112002111. The next prime is 101112002141. The reversal of 101112002121 is 121200211101.

It is not a de Polignac number, because 101112002121 - 2¹⁸ = 101111739977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112002097 and 101112002106.

It is not an unprimeable number, because it can be changed into a prime (101112002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3706 + ... + 449708.

It is an arithmetic number, because the mean of its divisors is an integer number (9075735396).

Almost surely, 2^101112002121 is an apocalyptic number.

It is an amenable number.

101112002121 is a deficient number, since it is larger than the sum of its proper divisors (44099764215).

101112002121 is a wasteful number, since it uses less digits than its factorization.

101112002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451832.

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

Adding to 101112002121 its reverse (121200211101), we get a palindrome (222312213222).

The spelling of 101112002121 in words is "one hundred one billion, one hundred twelve million, two thousand, one hundred twenty-one".