121201010000101 has 8 divisors (see below), whose sum is σ = 122406757663608. Its totient is φ = 119995374840000.

The previous prime is 121201010000069. The next prime is 121201010000107. The reversal of 121201010000101 is 101000010102121.

It can be written as a sum of positive squares in 4 ways, for example, as 117762214348900 + 3438795651201 = 10851830^2 + 1854399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121201010000101 - 2⁵ = 121201010000069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201010000107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25959690 + ... + 30270571.

It is an arithmetic number, because the mean of its divisors is an integer number (15300844707951).

Almost surely, 2^{121201010000101} is an apocalyptic number.

It is an amenable number.

121201010000101 is a deficient number, since it is larger than the sum of its proper divisors (1205747663507).

121201010000101 is a wasteful number, since it uses less digits than its factorization.

121201010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56251703.

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

Adding to 121201010000101 its reverse (101000010102121), we get a palindrome (222201020102222).

The spelling of 121201010000101 in words is "one hundred twenty-one trillion, two hundred one billion, ten million, one hundred one", and thus it is an aban number.