101221122122001 has 32 divisors (see below), whose sum is σ = 171647040864000. Its totient is φ = 57750406133760.

The previous prime is 101221122121943. The next prime is 101221122122077. The reversal of 101221122122001 is 100221221122101.

101221122122001 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 1 + 221 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 101221122122001 - 2¹⁵ = 101221122089233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221122222001) 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, 417633526 + ... + 417875823.

It is an arithmetic number, because the mean of its divisors is an integer number (5363970027000).

Almost surely, 2^{101221122122001} is an apocalyptic number.

It is an amenable number.

101221122122001 is a deficient number, since it is larger than the sum of its proper divisors (70425918741999).

101221122122001 is an equidigital number, since it uses as much as digits as its factorization.

101221122122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835510006 (or 835510000 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221122122001 its reverse (100221221122101), we get a palindrome (201442343244102).

The spelling of 101221122122001 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, one".