101222100002001 has 16 divisors (see below), whose sum is σ = 147232390249728. Its totient is φ = 61346625277200.

The previous prime is 101222100001999. The next prime is 101222100002029. The reversal of 101222100002001 is 100200001222101.

It is not a de Polignac number, because 101222100002001 - 2¹ = 101222100001999 is a prime.

It is a super-3 number, since 3×101222100002001³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101222100002201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20786550 + ... + 25189776.

It is an arithmetic number, because the mean of its divisors is an integer number (9202024390608).

Almost surely, 2^{101222100002001} is an apocalyptic number.

101222100002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222100002001 is a deficient number, since it is larger than the sum of its proper divisors (46010290247727).

101222100002001 is a wasteful number, since it uses less digits than its factorization.

101222100002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099852.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101222100002001 its reverse (100200001222101), we get a palindrome (201422101224102).

The spelling of 101222100002001 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred million, two thousand, one".