10201012100121 has 16 divisors (see below), whose sum is σ = 13969053201600. Its totient is φ = 6616825489728.

The previous prime is 10201012100119. The next prime is 10201012100171. The reversal of 10201012100121 is 12100121010201.

It is not a de Polignac number, because 10201012100121 - 2¹ = 10201012100119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201012100097 and 10201012100106.

It is not an unprimeable number, because it can be changed into a prime (10201012100171) 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, 22290835 + ... + 22743863.

It is an arithmetic number, because the mean of its divisors is an integer number (873065825100).

Almost surely, 2^{10201012100121} is an apocalyptic number.

It is an amenable number.

10201012100121 is a deficient number, since it is larger than the sum of its proper divisors (3768041101479).

10201012100121 is a wasteful number, since it uses less digits than its factorization.

10201012100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655928.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201012100121 its reverse (12100121010201), we get a palindrome (22301133110322).

The spelling of 10201012100121 in words is "ten trillion, two hundred one billion, twelve million, one hundred thousand, one hundred twenty-one".