101102112121201 has 16 divisors (see below), whose sum is σ = 108573177565008. Its totient is φ = 93808453888000.

The previous prime is 101102112121177. The next prime is 101102112121211. The reversal of 101102112121201 is 102121211201101.

It can be written as a sum of positive squares in 8 ways, for example, as 33866638445025 + 67235473676176 = 5819505^2 + 8199724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102112121201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102112121211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125958310 + ... + 126758431.

It is an arithmetic number, because the mean of its divisors is an integer number (6785823597813).

Almost surely, 2^{101102112121201} is an apocalyptic number.

It is an amenable number.

101102112121201 is a deficient number, since it is larger than the sum of its proper divisors (7471065443807).

101102112121201 is a wasteful number, since it uses less digits than its factorization.

101102112121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252717092.

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

Adding to 101102112121201 its reverse (102121211201101), we get a palindrome (203223323322302).

The spelling of 101102112121201 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred one".