101123200301121 has 48 divisors (see below), whose sum is σ = 159331966410240. Its totient is φ = 61566554234880.

The previous prime is 101123200301117. The next prime is 101123200301129. The reversal of 101123200301121 is 121103002321101.

101123200301121 is a `hidden beast` number, since 1 + 0 + 11 + 232 + 0 + 0 + 301 + 121 = 666.

It is not a de Polignac number, because 101123200301121 - 2² = 101123200301117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101123200301094 and 101123200301103.

It is not an unprimeable number, because it can be changed into a prime (101123200301129) 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, 35750970 + ... + 38475683.

It is an arithmetic number, because the mean of its divisors is an integer number (3319415966880).

Almost surely, 2^{101123200301121} is an apocalyptic number.

It is an amenable number.

101123200301121 is a deficient number, since it is larger than the sum of its proper divisors (58208766109119).

101123200301121 is a wasteful number, since it uses less digits than its factorization.

101123200301121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74226966 (or 74226963 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101123200301121 its reverse (121103002321101), we get a palindrome (222226202622222).

The spelling of 101123200301121 in words is "one hundred one trillion, one hundred twenty-three billion, two hundred million, three hundred one thousand, one hundred twenty-one".