101001121100007 has 8 divisors (see below), whose sum is σ = 134676462595584. Its totient is φ = 67329930168888.

The previous prime is 101001121099951. The next prime is 101001121100029. The reversal of 101001121100007 is 700001121100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101001121100007 - 2⁶ = 101001121099943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001121100207) 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 7 ways as a sum of consecutive naturals, for example, 1037584333 + ... + 1037681670.

It is an arithmetic number, because the mean of its divisors is an integer number (16834557824448).

Almost surely, 2^{101001121100007} is an apocalyptic number.

101001121100007 is a deficient number, since it is larger than the sum of its proper divisors (33675341495577).

101001121100007 is a wasteful number, since it uses less digits than its factorization.

101001121100007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075282229.

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 101001121100007 its reverse (700001121100101), we get a palindrome (801002242200108).

The spelling of 101001121100007 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, seven".