101011112022201 has 64 divisors (see below), whose sum is σ = 150423911827200. Its totient is φ = 59995536039936.

The previous prime is 101011112022187. The next prime is 101011112022211. The reversal of 101011112022201 is 102220211110101.

It is a happy number.

It is not a de Polignac number, because 101011112022201 - 2²³ = 101011103633593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011112022211) 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 63 ways as a sum of consecutive naturals, for example, 30996645 + ... + 34100061.

It is an arithmetic number, because the mean of its divisors is an integer number (2350373622300).

Almost surely, 2^{101011112022201} is an apocalyptic number.

It is an amenable number.

101011112022201 is a deficient number, since it is larger than the sum of its proper divisors (49412799804999).

101011112022201 is a wasteful number, since it uses less digits than its factorization.

101011112022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103898.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101011112022201 its reverse (102220211110101), we get a palindrome (203231323132302).

The spelling of 101011112022201 in words is "one hundred one trillion, eleven billion, one hundred twelve million, twenty-two thousand, two hundred one".