101001112102121 has 32 divisors (see below), whose sum is σ = 130448094437376. Its totient is φ = 75892341168000.

The previous prime is 101001112102081. The next prime is 101001112102127. The reversal of 101001112102121 is 121201211100101.

It is not a de Polignac number, because 101001112102121 - 2⁶ = 101001112102057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001112102096 and 101001112102105.

It is not an unprimeable number, because it can be changed into a prime (101001112102127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74619275 + ... + 75960768.

It is an arithmetic number, because the mean of its divisors is an integer number (4076502951168).

Almost surely, 2^{101001112102121} is an apocalyptic number.

101001112102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001112102121 is a deficient number, since it is larger than the sum of its proper divisors (29446982335255).

101001112102121 is a wasteful number, since it uses less digits than its factorization.

101001112102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150580373.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101001112102121 its reverse (121201211100101), we get a palindrome (222202323202222).

The spelling of 101001112102121 in words is "one hundred one trillion, one billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".