98210010131201 has 16 divisors (see below), whose sum is σ = 106417598757120. Its totient is φ = 90393327002880.

The previous prime is 98210010131197. The next prime is 98210010131237. The reversal of 98210010131201 is 10213101001289.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 98210010131201 - 2² = 98210010131197 is a prime.

It is a super-2 number, since 2×98210010131201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98210010131281) 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 15 ways as a sum of consecutive naturals, for example, 713262341 + ... + 713400018.

It is an arithmetic number, because the mean of its divisors is an integer number (6651099922320).

Almost surely, 2^{98210010131201} is an apocalyptic number.

It is an amenable number.

98210010131201 is a deficient number, since it is larger than the sum of its proper divisors (8207588625919).

98210010131201 is a wasteful number, since it uses less digits than its factorization.

98210010131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426662496.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 98210010131201 in words is "ninety-eight trillion, two hundred ten billion, ten million, one hundred thirty-one thousand, two hundred one".