102011002213121 has 16 divisors (see below), whose sum is σ = 102879911681424. Its totient is φ = 101145033310464.

The previous prime is 102011002213093. The next prime is 102011002213129. The reversal of 102011002213121 is 121312200110201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 54431357373121 + 47579644840000 = 7377761^2 + 6897800^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011002213121 - 2²² = 102010998018817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102011002213121.

It is not an unprimeable number, because it can be changed into a prime (102011002213129) 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, 191927891 + ... + 192458663.

It is an arithmetic number, because the mean of its divisors is an integer number (6429994480089).

Almost surely, 2^{102011002213121} is an apocalyptic number.

It is an amenable number.

102011002213121 is a deficient number, since it is larger than the sum of its proper divisors (868909468303).

102011002213121 is a wasteful number, since it uses less digits than its factorization.

102011002213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533540.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102011002213121 its reverse (121312200110201), we get a palindrome (223323202323322).

The spelling of 102011002213121 in words is "one hundred two trillion, eleven billion, two million, two hundred thirteen thousand, one hundred twenty-one".