101011222100001 has 16 divisors (see below), whose sum is σ = 136021224024000. Its totient is φ = 66671077387200.

The previous prime is 101011222099987. The next prime is 101011222100017. The reversal of 101011222100001 is 100001222110101.

It is not a de Polignac number, because 101011222100001 - 2⁵ = 101011222099969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011222100001.

It is not an unprimeable number, because it can be changed into a prime (101011222100101) 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, 728626 + ... + 14232123.

It is an arithmetic number, because the mean of its divisors is an integer number (8501326501500).

Almost surely, 2^{101011222100001} is an apocalyptic number.

It is an amenable number.

101011222100001 is a deficient number, since it is larger than the sum of its proper divisors (35010001923999).

101011222100001 is a wasteful number, since it uses less digits than its factorization.

101011222100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983136.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101011222100001 its reverse (100001222110101), we get a palindrome (201012444210102).

The spelling of 101011222100001 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, one hundred thousand, one".