101210001012001 has 32 divisors (see below), whose sum is σ = 115926774163200. Its totient is φ = 86558079928320.

The previous prime is 101210001011969. The next prime is 101210001012073. The reversal of 101210001012001 is 100210100012101.

It is not a de Polignac number, because 101210001012001 - 2⁵ = 101210001011969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101210001052001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37086844005 + ... + 37086846733.

It is an arithmetic number, because the mean of its divisors is an integer number (3622711692600).

Almost surely, 2^{101210001012001} is an apocalyptic number.

It is an amenable number.

101210001012001 is a deficient number, since it is larger than the sum of its proper divisors (14716773151199).

101210001012001 is a wasteful number, since it uses less digits than its factorization.

101210001012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210001012001 its reverse (100210100012101), we get a palindrome (201420101024102).

The spelling of 101210001012001 in words is "one hundred one trillion, two hundred ten billion, one million, twelve thousand, one".