10001101122012 has 144 divisors (see below), whose sum is σ = 31504276000512. Its totient is φ = 2397866365440.

The previous prime is 10001101121987. The next prime is 10001101122013. The reversal of 10001101122012 is 21022110110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101122013) 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 47 ways as a sum of consecutive naturals, for example, 31866633 + ... + 32178944.

It is an arithmetic number, because the mean of its divisors is an integer number (218779694448).

Almost surely, 2^{10001101122012} is an apocalyptic number.

10001101122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001101122012 is an abundant number, since it is smaller than the sum of its proper divisors (21503174878500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001101122012 is a wasteful number, since it uses less digits than its factorization.

10001101122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64045628 (or 64045613 counting only the distinct ones).

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

Adding to 10001101122012 its reverse (21022110110001), we get a palindrome (31023211232013).

The spelling of 10001101122012 in words is "ten trillion, one billion, one hundred one million, one hundred twenty-two thousand, twelve".