100101012221001 has 64 divisors (see below), whose sum is σ = 148919681433600. Its totient is φ = 59300181408000.

The previous prime is 100101012220949. The next prime is 100101012221003. The reversal of 100101012221001 is 100122210101001.

It is not a de Polignac number, because 100101012221001 - 2¹⁷ = 100101012089929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101012221003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4815084715 + ... + 4815105503.

It is an arithmetic number, because the mean of its divisors is an integer number (2326870022400).

Almost surely, 2^{100101012221001} is an apocalyptic number.

100101012221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101012221001 is a deficient number, since it is larger than the sum of its proper divisors (48818669212599).

100101012221001 is a wasteful number, since it uses less digits than its factorization.

100101012221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39270.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101012221001 its reverse (100122210101001), we get a palindrome (200223222322002).

The spelling of 100101012221001 in words is "one hundred trillion, one hundred one billion, twelve million, two hundred twenty-one thousand, one".