101200220122001 has 64 divisors (see below), whose sum is σ = 136506774405120. Its totient is φ = 72454202231040.

The previous prime is 101200220121947. The next prime is 101200220122003. The reversal of 101200220122001 is 100221022002101.

It is not a de Polignac number, because 101200220122001 - 2¹⁴ = 101200220105617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101200220122003) 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, 1697134655 + ... + 1697194283.

It is an arithmetic number, because the mean of its divisors is an integer number (2132918350080).

Almost surely, 2^{101200220122001} is an apocalyptic number.

101200220122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200220122001 is a deficient number, since it is larger than the sum of its proper divisors (35306554283119).

101200220122001 is a wasteful number, since it uses less digits than its factorization.

101200220122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67486.

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

Adding to 101200220122001 its reverse (100221022002101), we get a palindrome (201421242124102).

The spelling of 101200220122001 in words is "one hundred one trillion, two hundred billion, two hundred twenty million, one hundred twenty-two thousand, one".