102121010011201 has 16 divisors (see below), whose sum is σ = 108300498905808. Its totient is φ = 95960744089600.

The previous prime is 102121010011169. The next prime is 102121010011249. The reversal of 102121010011201 is 102110010121201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5479232282176 + 96641777729025 = 2340776^2 + 9830655^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121010011201 - 2⁵ = 102121010011169 is a prime.

It is a super-2 number, since 2×102121010011201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121010011901) 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, 45225231 + ... + 47429563.

It is an arithmetic number, because the mean of its divisors is an integer number (6768781181613).

Almost surely, 2^{102121010011201} is an apocalyptic number.

It is an amenable number.

102121010011201 is a deficient number, since it is larger than the sum of its proper divisors (6179488894607).

102121010011201 is a wasteful number, since it uses less digits than its factorization.

102121010011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208692.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121010011201 its reverse (102110010121201), we get a palindrome (204231020132402).

The spelling of 102121010011201 in words is "one hundred two trillion, one hundred twenty-one billion, ten million, eleven thousand, two hundred one".