101001121112001 has 64 divisors (see below), whose sum is σ = 163742930887680. Its totient is φ = 54578692362240.

The previous prime is 101001121111993. The next prime is 101001121112033. The reversal of 101001121112001 is 100211121100101.

It is not a de Polignac number, because 101001121112001 - 2³ = 101001121111993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001121112401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 855570886 + ... + 855688928.

It is an arithmetic number, because the mean of its divisors is an integer number (2558483295120).

Almost surely, 2^{101001121112001} is an apocalyptic number.

101001121112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001121112001 is a deficient number, since it is larger than the sum of its proper divisors (62741809775679).

101001121112001 is a wasteful number, since it uses less digits than its factorization.

101001121112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198366.

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

Adding to 101001121112001 its reverse (100211121100101), we get a palindrome (201212242212102).

The spelling of 101001121112001 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred twelve thousand, one".