101101100201001 has 6 divisors (see below), whose sum is σ = 146034922512570. Its totient is φ = 67400733467328.

The previous prime is 101101100200979. The next prime is 101101100201009. The reversal of 101101100201001 is 100102001101101.

It can be written as a sum of positive squares in only one way, i.e., 100840056867225 + 261043333776 = 10041915^2 + 510924^2 .

It is not a de Polignac number, because 101101100201001 - 2⁶ = 101101100200937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11233455577889 = 101101100201001 / (1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 2 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (101101100201009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616727788936 + ... + 5616727788953.

It is an arithmetic number, because the mean of its divisors is an integer number (24339153752095).

Almost surely, 2^{101101100201001} is an apocalyptic number.

It is an amenable number.

101101100201001 is a deficient number, since it is larger than the sum of its proper divisors (44933822311569).

101101100201001 is a wasteful number, since it uses less digits than its factorization.

101101100201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233455577895 (or 11233455577892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101100201001 its reverse (100102001101101), we get a palindrome (201203101302102).

The spelling of 101101100201001 in words is "one hundred one trillion, one hundred one billion, one hundred million, two hundred one thousand, one".