101201200122011 has 32 divisors (see below), whose sum is σ = 117254760710400. Its totient is φ = 86323263713280.

The previous prime is 101201200122007. The next prime is 101201200122023. The reversal of 101201200122011 is 110221002102101.

It is not a de Polignac number, because 101201200122011 - 2² = 101201200122007 is a prime.

It is a super-2 number, since 2×101201200122011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201200922011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278318720 + ... + 278682098.

It is an arithmetic number, because the mean of its divisors is an integer number (3664211272200).

Almost surely, 2^{101201200122011} is an apocalyptic number.

101201200122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101201200122011 is a deficient number, since it is larger than the sum of its proper divisors (16053560588389).

101201200122011 is a wasteful number, since it uses less digits than its factorization.

101201200122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367979.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201200122011 its reverse (110221002102101), we get a palindrome (211422202224112).

The spelling of 101201200122011 in words is "one hundred one trillion, two hundred one billion, two hundred million, one hundred twenty-two thousand, eleven".