10112002010121 has 32 divisors (see below), whose sum is σ = 14987795834880. Its totient is φ = 6012086724800.

The previous prime is 10112002010111. The next prime is 10112002010137. The reversal of 10112002010121 is 12101020021101.

It is a cyclic number.

It is not a de Polignac number, because 10112002010121 - 2⁹ = 10112002009609 is a prime.

It is a super-2 number, since 2×10112002010121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10112002010097 and 10112002010106.

It is not an unprimeable number, because it can be changed into a prime (10112002010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13485286 + ... + 14215376.

It is an arithmetic number, because the mean of its divisors is an integer number (468368619840).

Almost surely, 2^{10112002010121} is an apocalyptic number.

10112002010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112002010121 is a deficient number, since it is larger than the sum of its proper divisors (4875793824759).

10112002010121 is a wasteful number, since it uses less digits than its factorization.

10112002010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738077.

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

Adding to 10112002010121 its reverse (12101020021101), we get a palindrome (22213022031222).

The spelling of 10112002010121 in words is "ten trillion, one hundred twelve billion, two million, ten thousand, one hundred twenty-one".