101200212001 has 24 divisors (see below), whose sum is σ = 118717885440. Its totient is φ = 86010537312.

The previous prime is 101200211989. The next prime is 101200212013. The reversal of 101200212001 is 100212002101.

It is an interprime number because it is at equal distance from previous prime (101200211989) and next prime (101200212013).

It is not a de Polignac number, because 101200212001 - 2⁵ = 101200211969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101200215001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14365386 + ... + 14372428.

It is an arithmetic number, because the mean of its divisors is an integer number (4946578560).

Almost surely, 2^101200212001 is an apocalyptic number.

It is an amenable number.

101200212001 is a deficient number, since it is larger than the sum of its proper divisors (17517673439).

101200212001 is a wasteful number, since it uses less digits than its factorization.

101200212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200212001 its reverse (100212002101), we get a palindrome (201412214102).

The spelling of 101200212001 in words is "one hundred one billion, two hundred million, two hundred twelve thousand, one".