101121110102001 has 32 divisors (see below), whose sum is σ = 155385521049600. Its totient is φ = 57850364652480.

The previous prime is 101121110101997. The next prime is 101121110102011. The reversal of 101121110102001 is 100201011121101.

It is not a de Polignac number, because 101121110102001 - 2² = 101121110101997 is a prime.

It is a super-2 number, since 2×101121110102001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121110102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290941281 + ... + 291288638.

It is an arithmetic number, because the mean of its divisors is an integer number (4855797532800).

Almost surely, 2^{101121110102001} is an apocalyptic number.

101121110102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121110102001 is a deficient number, since it is larger than the sum of its proper divisors (54264410947599).

101121110102001 is a wasteful number, since it uses less digits than its factorization.

101121110102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582230229.

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

Adding to 101121110102001 its reverse (100201011121101), we get a palindrome (201322121223102).

The spelling of 101121110102001 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred ten million, one hundred two thousand, one".