101011011120201 has 128 divisors (see below), whose sum is σ = 170603870703616. Its totient is φ = 51730325222400.

The previous prime is 101011011120193. The next prime is 101011011120223. The reversal of 101011011120201 is 102021110110101.

It is not a de Polignac number, because 101011011120201 - 2³ = 101011011120193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011011120101) 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 127 ways as a sum of consecutive naturals, for example, 24934831626 + ... + 24934835676.

It is an arithmetic number, because the mean of its divisors is an integer number (1332842739872).

Almost surely, 2^{101011011120201} is an apocalyptic number.

It is an amenable number.

101011011120201 is a deficient number, since it is larger than the sum of its proper divisors (69592859583415).

101011011120201 is a wasteful number, since it uses less digits than its factorization.

101011011120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751.

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

Adding to 101011011120201 its reverse (102021110110101), we get a palindrome (203032121230302).

The spelling of 101011011120201 in words is "one hundred one trillion, eleven billion, eleven million, one hundred twenty thousand, two hundred one".