101122121001 has 16 divisors (see below), whose sum is σ = 147326696640. Its totient is φ = 61186144320.

The previous prime is 101122120999. The next prime is 101122121053. The reversal of 101122121001 is 100121221101.

It is not a de Polignac number, because 101122121001 - 2¹ = 101122120999 is a prime.

It is a super-3 number, since 3×101122121001³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122129001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479206 + ... + 2519663.

It is an arithmetic number, because the mean of its divisors is an integer number (9207918540).

Almost surely, 2^101122121001 is an apocalyptic number.

101122121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122121001 is a deficient number, since it is larger than the sum of its proper divisors (46204575639).

101122121001 is a wasteful number, since it uses less digits than its factorization.

101122121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999496.

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

Adding to 101122121001 its reverse (100121221101), we get a palindrome (201243342102).

The spelling of 101122121001 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, one".