101122202211001 has 16 divisors (see below), whose sum is σ = 102739853497600. Its totient is φ = 99517277160000.

The previous prime is 101122202210989. The next prime is 101122202211013. The reversal of 101122202211001 is 100112202221101.

It is an interprime number because it is at equal distance from previous prime (101122202210989) and next prime (101122202211013).

It is a cyclic number.

It is not a de Polignac number, because 101122202211001 - 2¹⁵ = 101122202178233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122202211301) 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, 120572215 + ... + 121408003.

It is an arithmetic number, because the mean of its divisors is an integer number (6421240843600).

Almost surely, 2^{101122202211001} is an apocalyptic number.

It is an amenable number.

101122202211001 is a deficient number, since it is larger than the sum of its proper divisors (1617651286599).

101122202211001 is a wasteful number, since it uses less digits than its factorization.

101122202211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843400.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122202211001 its reverse (100112202221101), we get a palindrome (201234404432102).

The spelling of 101122202211001 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred two million, two hundred eleven thousand, one".