101011121100001 has 16 divisors (see below), whose sum is σ = 116599917115008. Its totient is φ = 85712214240000.

The previous prime is 101011121099939. The next prime is 101011121100007. The reversal of 101011121100001 is 100001121110101.

It is a cyclic number.

It is not a de Polignac number, because 101011121100001 - 2²⁵ = 101011087545569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011121100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4319640 + ... + 14855353.

It is an arithmetic number, because the mean of its divisors is an integer number (7287494819688).

Almost surely, 2^{101011121100001} is an apocalyptic number.

It is an amenable number.

101011121100001 is a deficient number, since it is larger than the sum of its proper divisors (15588796015007).

101011121100001 is a wasteful number, since it uses less digits than its factorization.

101011121100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19182552.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011121100001 its reverse (100001121110101), we get a palindrome (201012242210102).

The spelling of 101011121100001 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, one hundred thousand, one".