10001101121012 has 24 divisors (see below), whose sum is σ = 17744788454400. Its totient is φ = 4931454963776.

The previous prime is 10001101120993. The next prime is 10001101121023. The reversal of 10001101121012 is 21012110110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001101120984 and 10001101121002.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36538562 + ... + 36811257.

It is an arithmetic number, because the mean of its divisors is an integer number (739366185600).

Almost surely, 2^{10001101121012} is an apocalyptic number.

It is an amenable number.

10001101121012 is a deficient number, since it is larger than the sum of its proper divisors (7743687333388).

10001101121012 is a wasteful number, since it uses less digits than its factorization.

10001101121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73350295 (or 73350293 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001101121012 its reverse (21012110110001), we get a palindrome (31013211231013).

The spelling of 10001101121012 in words is "ten trillion, one billion, one hundred one million, one hundred twenty-one thousand, twelve".