101121012012111 has 48 divisors (see below), whose sum is σ = 173470741226496. Its totient is φ = 51019488070848.

The previous prime is 101121012012077. The next prime is 101121012012127. The reversal of 101121012012111 is 111210210121101.

It is not a de Polignac number, because 101121012012111 - 2⁶ = 101121012012047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121012012151) 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 47 ways as a sum of consecutive naturals, for example, 349956375 + ... + 350245208.

It is an arithmetic number, because the mean of its divisors is an integer number (3613973775552).

Almost surely, 2^{101121012012111} is an apocalyptic number.

101121012012111 is a deficient number, since it is larger than the sum of its proper divisors (72349729214385).

101121012012111 is a wasteful number, since it uses less digits than its factorization.

101121012012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700201652 (or 700201629 counting only the distinct ones).

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

Adding to 101121012012111 its reverse (111210210121101), we get a palindrome (212331222133212).

The spelling of 101121012012111 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, twelve thousand, one hundred eleven".