2102242010001 has 16 divisors (see below), whose sum is σ = 3217164971904. Its totient is φ = 1196125432704.

The previous prime is 2102242009993. The next prime is 2102242010017. The reversal of 2102242010001 is 1000102422012.

It is not a de Polignac number, because 2102242010001 - 2³ = 2102242009993 is a prime.

It is a super-2 number, since 2×2102242010001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102242010041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214816486 + ... + 214826271.

It is an arithmetic number, because the mean of its divisors is an integer number (201072810744).

Almost surely, 2^{2102242010001} is an apocalyptic number.

2102242010001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102242010001 is a deficient number, since it is larger than the sum of its proper divisors (1114922961903).

2102242010001 is a wasteful number, since it uses less digits than its factorization.

2102242010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429643000.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2102242010001 its reverse (1000102422012), we get a palindrome (3102344432013).

The spelling of 2102242010001 in words is "two trillion, one hundred two billion, two hundred forty-two million, ten thousand, one".