101101121101001 has 16 divisors (see below), whose sum is σ = 116347963173888. Its totient is φ = 86055616458000.

The previous prime is 101101121100979. The next prime is 101101121101091. The reversal of 101101121101001 is 100101121101101.

It is a happy number.

It is not a de Polignac number, because 101101121101001 - 2¹⁸ = 101101120838857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101121101091) 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, 12700655 + ... + 19065908.

It is an arithmetic number, because the mean of its divisors is an integer number (7271747698368).

Almost surely, 2^{101101121101001} is an apocalyptic number.

It is an amenable number.

101101121101001 is a deficient number, since it is larger than the sum of its proper divisors (15246842072887).

101101121101001 is a wasteful number, since it uses less digits than its factorization.

101101121101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31769732.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101121101001 its reverse (100101121101101), we get a palindrome (201202242202102).

The spelling of 101101121101001 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one".