10100111012121 has 16 divisors (see below), whose sum is σ = 14503328651840. Its totient is φ = 6215193581760.

The previous prime is 10100111012087. The next prime is 10100111012141. The reversal of 10100111012121 is 12121011100101.

It is not a de Polignac number, because 10100111012121 - 2⁹ = 10100111011609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100111012097 and 10100111012106.

It is not an unprimeable number, because it can be changed into a prime (10100111012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4454350 + ... + 6327831.

It is an arithmetic number, because the mean of its divisors is an integer number (906458040740).

Almost surely, 2^{10100111012121} is an apocalyptic number.

It is an amenable number.

10100111012121 is a deficient number, since it is larger than the sum of its proper divisors (4403217639719).

10100111012121 is a wasteful number, since it uses less digits than its factorization.

10100111012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806216.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10100111012121 its reverse (12121011100101), we get a palindrome (22221122112222).

The spelling of 10100111012121 in words is "ten trillion, one hundred billion, one hundred eleven million, twelve thousand, one hundred twenty-one".