101200002212001 has 64 divisors (see below), whose sum is σ = 170613165735936. Its totient is φ = 51826376884800.

The previous prime is 101200002211991. The next prime is 101200002212051. The reversal of 101200002212001 is 100212200002101.

It is not a de Polignac number, because 101200002212001 - 2⁵ = 101200002211969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101200002212051) 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, 188064010 + ... + 188601356.

It is an arithmetic number, because the mean of its divisors is an integer number (2665830714624).

Almost surely, 2^{101200002212001} is an apocalyptic number.

101200002212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200002212001 is a deficient number, since it is larger than the sum of its proper divisors (69413163523935).

101200002212001 is a wasteful number, since it uses less digits than its factorization.

101200002212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548922.

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

Adding to 101200002212001 its reverse (100212200002101), we get a palindrome (201412202214102).

The spelling of 101200002212001 in words is "one hundred one trillion, two hundred billion, two million, two hundred twelve thousand, one".