101012121211201 has 8 divisors (see below), whose sum is σ = 101196514237320. Its totient is φ = 100827752282112.

The previous prime is 101012121211159. The next prime is 101012121211213. The reversal of 101012121211201 is 102112121210101.

It can be written as a sum of positive squares in 4 ways, for example, as 355025305600 + 100657095905601 = 595840^2 + 10032801^2 .

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 101012121211201 - 2²⁵ = 101012087656769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012121211241) 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, 2377861 + ... + 14411053.

It is an arithmetic number, because the mean of its divisors is an integer number (12649564279665).

Almost surely, 2^{101012121211201} is an apocalyptic number.

It is an amenable number.

101012121211201 is a deficient number, since it is larger than the sum of its proper divisors (184393026119).

101012121211201 is a wasteful number, since it uses less digits than its factorization.

101012121211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12048515.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101012121211201 its reverse (102112121210101), we get a palindrome (203124242421302).

The spelling of 101012121211201 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred one".