101211202000103 has 16 divisors (see below), whose sum is σ = 109415154488640. Its totient is φ = 93067057949184.

The previous prime is 101211202000061. The next prime is 101211202000157. The reversal of 101211202000103 is 301000202112101.

It is a cyclic number.

It is not a de Polignac number, because 101211202000103 - 2¹⁶ = 101211201934567 is a prime.

It is a super-3 number, since 3×101211202000103³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211202000603) 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 15 ways as a sum of consecutive naturals, for example, 94491713 + ... + 95556821.

It is an arithmetic number, because the mean of its divisors is an integer number (6838447155540).

Almost surely, 2^{101211202000103} is an apocalyptic number.

101211202000103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101211202000103 is a deficient number, since it is larger than the sum of its proper divisors (8203952488537).

101211202000103 is a wasteful number, since it uses less digits than its factorization.

101211202000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093178.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101211202000103 its reverse (301000202112101), we get a palindrome (402211404112204).

The spelling of 101211202000103 in words is "one hundred one trillion, two hundred eleven billion, two hundred two million, one hundred three", and thus it is an aban number.