101111002212123 has 12 divisors (see below), whose sum is σ = 147016438832848. Its totient is φ = 66960928616400.

The previous prime is 101111002212083. The next prime is 101111002212127. The reversal of 101111002212123 is 321212200111101.

It is a happy number.

It is not a de Polignac number, because 101111002212123 - 2⁸ = 101111002211867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111002212096 and 101111002212105.

It is not an unprimeable number, because it can be changed into a prime (101111002212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37200514540 + ... + 37200517257.

Almost surely, 2^{101111002212123} is an apocalyptic number.

101111002212123 is a deficient number, since it is larger than the sum of its proper divisors (45905436620725).

101111002212123 is a wasteful number, since it uses less digits than its factorization.

101111002212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74401031954 (or 74401031951 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101111002212123 its reverse (321212200111101), we get a palindrome (422323202323224).

The spelling of 101111002212123 in words is "one hundred one trillion, one hundred eleven billion, two million, two hundred twelve thousand, one hundred twenty-three".