101221200112123 has 32 divisors (see below), whose sum is σ = 124962925933440. Its totient is φ = 79841267343360.

The previous prime is 101221200112121. The next prime is 101221200112141. The reversal of 101221200112123 is 321211002122101.

It is a cyclic number.

It is not a de Polignac number, because 101221200112123 - 2¹ = 101221200112121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101221200112123.

It is not an unprimeable number, because it can be changed into a prime (101221200112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38119411 + ... + 40688227.

It is an arithmetic number, because the mean of its divisors is an integer number (3905091435420).

Almost surely, 2^{101221200112123} is an apocalyptic number.

101221200112123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101221200112123 is a deficient number, since it is larger than the sum of its proper divisors (23741725821317).

101221200112123 is a wasteful number, since it uses less digits than its factorization.

101221200112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570167.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101221200112123 its reverse (321211002122101), we get a palindrome (422432202234224).

The spelling of 101221200112123 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, one hundred twelve thousand, one hundred twenty-three".