100122122002001 has 32 divisors (see below), whose sum is σ = 119132815824000. Its totient is φ = 83112184673280.

The previous prime is 100122122001989. The next prime is 100122122002003. The reversal of 100122122002001 is 100200221221001.

It is a cyclic number.

It is not a de Polignac number, because 100122122002001 - 2²² = 100122117807697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122122002003) 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, 40585286 + ... + 42981503.

It is an arithmetic number, because the mean of its divisors is an integer number (3722900494500).

Almost surely, 2^{100122122002001} is an apocalyptic number.

100122122002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122122002001 is a deficient number, since it is larger than the sum of its proper divisors (19010693821999).

100122122002001 is a wasteful number, since it uses less digits than its factorization.

100122122002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83567009.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100122122002001 its reverse (100200221221001), we get a palindrome (200322343223002).

The spelling of 100122122002001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two thousand, one".