101112202011121 has 4 divisors (see below), whose sum is σ = 115556802298432. Its totient is φ = 86667601723812.

The previous prime is 101112202011103. The next prime is 101112202011127. The reversal of 101112202011121 is 121110202211101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101112202011121 - 2⁴¹ = 98913178755569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112202011095 and 101112202011104.

It is not an unprimeable number, because it can be changed into a prime (101112202011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7222300143645 + ... + 7222300143658.

It is an arithmetic number, because the mean of its divisors is an integer number (28889200574608).

Almost surely, 2^{101112202011121} is an apocalyptic number.

It is an amenable number.

101112202011121 is a deficient number, since it is larger than the sum of its proper divisors (14444600287311).

101112202011121 is an equidigital number, since it uses as much as digits as its factorization.

101112202011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14444600287310.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101112202011121 its reverse (121110202211101), we get a palindrome (222222404222222).

The spelling of 101112202011121 in words is "one hundred one trillion, one hundred twelve billion, two hundred two million, eleven thousand, one hundred twenty-one".