101211010211121 has 8 divisors (see below), whose sum is σ = 134948174179680. Its totient is φ = 67473926524992.

The previous prime is 101211010211093. The next prime is 101211010211153. The reversal of 101211010211121 is 121112010112101.

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

It is not a de Polignac number, because 101211010211121 - 2⁵ = 101211010211089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101211010211121.

It is not an unprimeable number, because it can be changed into a prime (101211010211161) 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, 17064691 + ... + 22217688.

It is an arithmetic number, because the mean of its divisors is an integer number (16868521772460).

Almost surely, 2^{101211010211121} is an apocalyptic number.

It is an amenable number.

101211010211121 is a deficient number, since it is larger than the sum of its proper divisors (33737163968559).

101211010211121 is an equidigital number, since it uses as much as digits as its factorization.

101211010211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40141215.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101211010211121 its reverse (121112010112101), we get a palindrome (222323020323222).

The spelling of 101211010211121 in words is "one hundred one trillion, two hundred eleven billion, ten million, two hundred eleven thousand, one hundred twenty-one".