101003112000211 has 12 divisors (see below), whose sum is σ = 106602921182352. Its totient is φ = 95683506334704.

The previous prime is 101003112000181. The next prime is 101003112000221. The reversal of 101003112000211 is 112000211300101.

It is a happy number.

It is not a de Polignac number, because 101003112000211 - 2⁷ = 101003112000083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101003112000191 and 101003112000200.

It is not an unprimeable number, because it can be changed into a prime (101003112000221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4154305 + ... + 14807581.

It is an arithmetic number, because the mean of its divisors is an integer number (8883576765196).

Almost surely, 2^{101003112000211} is an apocalyptic number.

101003112000211 is a deficient number, since it is larger than the sum of its proper divisors (5599809182141).

101003112000211 is a wasteful number, since it uses less digits than its factorization.

101003112000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679578 (or 10679559 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101003112000211 its reverse (112000211300101), we get a palindrome (213003323300312).

The spelling of 101003112000211 in words is "one hundred one trillion, three billion, one hundred twelve million, two hundred eleven", and thus it is an aban number.