101012202000123 has 8 divisors (see below), whose sum is σ = 141771511579200. Its totient is φ = 63797180210568.

The previous prime is 101012202000079. The next prime is 101012202000167. The reversal of 101012202000123 is 321000202210101.

It is an interprime number because it is at equal distance from previous prime (101012202000079) and next prime (101012202000167).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101012202000123 - 2²⁵ = 101012168445691 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012203000123) 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 7 ways as a sum of consecutive naturals, for example, 886071947313 + ... + 886071947426.

It is an arithmetic number, because the mean of its divisors is an integer number (17721438947400).

Almost surely, 2^{101012202000123} is an apocalyptic number.

101012202000123 is a deficient number, since it is larger than the sum of its proper divisors (40759309579077).

101012202000123 is a wasteful number, since it uses less digits than its factorization.

101012202000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772143894761.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101012202000123 its reverse (321000202210101), we get a palindrome (422012404210224).

The spelling of 101012202000123 in words is "one hundred one trillion, twelve billion, two hundred two million, one hundred twenty-three", and thus it is an aban number.