10121011022001 has 32 divisors (see below), whose sum is σ = 15230204208000. Its totient is φ = 5922004193280.

The previous prime is 10121011021997. The next prime is 10121011022033. The reversal of 10121011022001 is 10022011012101.

It is not a de Polignac number, because 10121011022001 - 2² = 10121011021997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121011022041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13166865 + ... + 13914321.

It is an arithmetic number, because the mean of its divisors is an integer number (475943881500).

Almost surely, 2^{10121011022001} is an apocalyptic number.

10121011022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121011022001 is a deficient number, since it is larger than the sum of its proper divisors (5109193185999).

10121011022001 is a wasteful number, since it uses less digits than its factorization.

10121011022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761649.

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

Adding to 10121011022001 its reverse (10022011012101), we get a palindrome (20143022034102).

The spelling of 10121011022001 in words is "ten trillion, one hundred twenty-one billion, eleven million, twenty-two thousand, one".