102100011201 has 12 divisors (see below), whose sum is σ = 147481785828. Its totient is φ = 68064831744.

The previous prime is 102100011191. The next prime is 102100011227. The reversal of 102100011201 is 102110001201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3638984976 + 98461026225 = 60324^2 + 313785^2 .

It is not a de Polignac number, because 102100011201 - 2¹¹ = 102100009153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102100011241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254521 + ... + 518633.

It is an arithmetic number, because the mean of its divisors is an integer number (12290148819).

Almost surely, 2^102100011201 is an apocalyptic number.

It is an amenable number.

102100011201 is a deficient number, since it is larger than the sum of its proper divisors (45381774627).

102100011201 is a wasteful number, since it uses less digits than its factorization.

102100011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307072 (or 307069 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100011201 its reverse (102110001201), we get a palindrome (204210012402).

The spelling of 102100011201 in words is "one hundred two billion, one hundred million, eleven thousand, two hundred one".