101121012011121 has 64 divisors (see below), whose sum is σ = 140002001018880. Its totient is φ = 64854188352000.

The previous prime is 101121012011029. The next prime is 101121012011141. The reversal of 101121012011121 is 121110210121101.

It is not a de Polignac number, because 101121012011121 - 2⁹ = 101121012010609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101121012011121.

It is not an unprimeable number, because it can be changed into a prime (101121012011141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27396641886 + ... + 27396645576.

It is an arithmetic number, because the mean of its divisors is an integer number (2187531265920).

Almost surely, 2^{101121012011121} is an apocalyptic number.

It is an amenable number.

101121012011121 is a deficient number, since it is larger than the sum of its proper divisors (38880989007759).

101121012011121 is a wasteful number, since it uses less digits than its factorization.

101121012011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101121012011121 its reverse (121110210121101), we get a palindrome (222231222132222).

The spelling of 101121012011121 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, eleven thousand, one hundred twenty-one".