102001210101 has 36 divisors (see below), whose sum is σ = 171534336012. Its totient is φ = 58237248384.

The previous prime is 102001210081. The next prime is 102001210147. The reversal of 102001210101 is 101012100201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81639347076 + 20361863025 = 285726^2 + 142695^2 .

It is not a de Polignac number, because 102001210101 - 2¹¹ = 102001208053 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001210001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 429175 + ... + 623051.

It is an arithmetic number, because the mean of its divisors is an integer number (4764842667).

Almost surely, 2^102001210101 is an apocalyptic number.

It is an amenable number.

102001210101 is a deficient number, since it is larger than the sum of its proper divisors (69533125911).

102001210101 is a wasteful number, since it uses less digits than its factorization.

102001210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195090 (or 195080 counting only the distinct ones).

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

Adding to 102001210101 its reverse (101012100201), we get a palindrome (203013310302).

The spelling of 102001210101 in words is "one hundred two billion, one million, two hundred ten thousand, one hundred one".