122100211132031 has 8 divisors (see below), whose sum is σ = 133312446203904. Its totient is φ = 110906678706520.

The previous prime is 122100211131991. The next prime is 122100211132033. The reversal of 122100211132031 is 130231112001221.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122100211132031 is a prime.

It is a super-3 number, since 3×122100211132031³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122100211131994 and 122100211132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100211132033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4675647935 + ... + 4675674048.

It is an arithmetic number, because the mean of its divisors is an integer number (16664055775488).

Almost surely, 2^{122100211132031} is an apocalyptic number.

122100211132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122100211132031 is a deficient number, since it is larger than the sum of its proper divisors (11212235071873).

122100211132031 is a wasteful number, since it uses less digits than its factorization.

122100211132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9351323181.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122100211132031 its reverse (130231112001221), we get a palindrome (252331323133252).

The spelling of 122100211132031 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred thirty-two thousand, thirty-one".