101022121000001 has 16 divisors (see below), whose sum is σ = 103195143341568. Its totient is φ = 98859209904000.

The previous prime is 101022120999991. The next prime is 101022121000013. The reversal of 101022121000001 is 100000121220101.

It is a cyclic number.

It is not a de Polignac number, because 101022121000001 - 2²² = 101022116805697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101022121000081) 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, 45789680 + ... + 47945166.

It is an arithmetic number, because the mean of its divisors is an integer number (6449696458848).

Almost surely, 2^{101022121000001} is an apocalyptic number.

It is an amenable number.

101022121000001 is a deficient number, since it is larger than the sum of its proper divisors (2173022341567).

101022121000001 is a wasteful number, since it uses less digits than its factorization.

101022121000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157832.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022121000001 its reverse (100000121220101), we get a palindrome (201022242220102).

The spelling of 101022121000001 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-one million, one", and thus it is an aban number.