101121102111 has 32 divisors (see below), whose sum is σ = 148759511040. Its totient is φ = 60815060064.

The previous prime is 101121102109. The next prime is 101121102113. The reversal of 101121102111 is 111201121101.

It is an interprime number because it is at equal distance from previous prime (101121102109) and next prime (101121102113).

It is not a de Polignac number, because 101121102111 - 2¹ = 101121102109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121102113) 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 31 ways as a sum of consecutive naturals, for example, 119410 + ... + 465296.

It is an arithmetic number, because the mean of its divisors is an integer number (4648734720).

Almost surely, 2^101121102111 is an apocalyptic number.

101121102111 is a deficient number, since it is larger than the sum of its proper divisors (47638408929).

101121102111 is a wasteful number, since it uses less digits than its factorization.

101121102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346155.

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

Adding to 101121102111 its reverse (111201121101), we get a palindrome (212322223212).

The spelling of 101121102111 in words is "one hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred eleven".