101003112000201 has 16 divisors (see below), whose sum is σ = 137543802384384. Its totient is φ = 65899074180624.

The previous prime is 101003112000181. The next prime is 101003112000221. The reversal of 101003112000201 is 102000211300101.

It is an interprime number because it is at equal distance from previous prime (101003112000181) and next prime (101003112000221).

It is not a de Polignac number, because 101003112000201 - 2⁵ = 101003112000169 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 17376385 + ... + 22448718.

It is an arithmetic number, because the mean of its divisors is an integer number (8596487649024).

Almost surely, 2^{101003112000201} is an apocalyptic number.

It is an amenable number.

101003112000201 is a deficient number, since it is larger than the sum of its proper divisors (36540690384183).

101003112000201 is a wasteful number, since it uses less digits than its factorization.

101003112000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39843140.

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

Adding to 101003112000201 its reverse (102000211300101), we get a palindrome (203003323300302).

The spelling of 101003112000201 in words is "one hundred one trillion, three billion, one hundred twelve million, two hundred one", and thus it is an aban number.