101012111220111 has 96 divisors (see below), whose sum is σ = 173102341524480. Its totient is φ = 51258593498112.

The previous prime is 101012111220017. The next prime is 101012111220131. The reversal of 101012111220111 is 111022111210101.

It is not a de Polignac number, because 101012111220111 - 2⁹ = 101012111219599 is a prime.

It is a super-2 number, since 2×101012111220111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012111220131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7365246 + ... + 16008468.

It is an arithmetic number, because the mean of its divisors is an integer number (1803149390880).

Almost surely, 2^{101012111220111} is an apocalyptic number.

101012111220111 is a deficient number, since it is larger than the sum of its proper divisors (72090230304369).

101012111220111 is a wasteful number, since it uses less digits than its factorization.

101012111220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8643385 (or 8643372 counting only the distinct ones).

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

Adding to 101012111220111 its reverse (111022111210101), we get a palindrome (212034222430212).

The spelling of 101012111220111 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two hundred twenty thousand, one hundred eleven".