101101001210121 has 16 divisors (see below), whose sum is σ = 149466755890368. Its totient is φ = 60268853179200.

The previous prime is 101101001210071. The next prime is 101101001210129. The reversal of 101101001210121 is 121012100101101.

It is not a de Polignac number, because 101101001210121 - 2¹³ = 101101001201929 is a prime.

It is a super-3 number, since 3×101101001210121³ (a number of 43 digits) contains 333 as substring.

101101001210121 is a modest number, since divided by 1210121 gives 1011010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101101001210097 and 101101001210106.

It is not an unprimeable number, because it can be changed into a prime (101101001210129) 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, 25112020146 + ... + 25112024171.

It is an arithmetic number, because the mean of its divisors is an integer number (9341672243148).

Almost surely, 2^{101101001210121} is an apocalyptic number.

101101001210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101001210121 is a deficient number, since it is larger than the sum of its proper divisors (48365754680247).

101101001210121 is a wasteful number, since it uses less digits than its factorization.

101101001210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50224044392.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101001210121 its reverse (121012100101101), we get a palindrome (222113101311222).

The spelling of 101101001210121 in words is "one hundred one trillion, one hundred one billion, one million, two hundred ten thousand, one hundred twenty-one".