100123212102001 has 4 divisors (see below), whose sum is σ = 109225322293104. Its totient is φ = 91021101910900.

The previous prime is 100123212101947. The next prime is 100123212102091. The reversal of 100123212102001 is 100201212321001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100123212102001 - 2¹⁵ = 100123212069233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100123212102091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4551055095535 + ... + 4551055095556.

It is an arithmetic number, because the mean of its divisors is an integer number (27306330573276).

Almost surely, 2^{100123212102001} is an apocalyptic number.

100123212102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100123212102001 is a deficient number, since it is larger than the sum of its proper divisors (9102110191103).

100123212102001 is an equidigital number, since it uses as much as digits as its factorization.

100123212102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102110191102.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100123212102001 its reverse (100201212321001), we get a palindrome (200324424423002).

The spelling of 100123212102001 in words is "one hundred trillion, one hundred twenty-three billion, two hundred twelve million, one hundred two thousand, one".