101202011202123 has 48 divisors (see below), whose sum is σ = 165721255015680. Its totient is φ = 58996674378432.

The previous prime is 101202011202049. The next prime is 101202011202139. The reversal of 101202011202123 is 321202110202101.

101202011202123 is a `hidden beast` number, since 10 + 120 + 201 + 120 + 212 + 3 = 666.

It is not a de Polignac number, because 101202011202123 - 2⁹ = 101202011201611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101202011202096 and 101202011202105.

It is not an unprimeable number, because it can be changed into a prime (101202011204123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34346440 + ... + 37176362.

It is an arithmetic number, because the mean of its divisors is an integer number (3452526146160).

Almost surely, 2^{101202011202123} is an apocalyptic number.

101202011202123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101202011202123 is a deficient number, since it is larger than the sum of its proper divisors (64519243813557).

101202011202123 is a wasteful number, since it uses less digits than its factorization.

101202011202123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846048 (or 2846045 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101202011202123 its reverse (321202110202101), we get a palindrome (422404121404224).

The spelling of 101202011202123 in words is "one hundred one trillion, two hundred two billion, eleven million, two hundred two thousand, one hundred twenty-three".