102100020201 has 36 divisors (see below), whose sum is σ = 149594631732. Its totient is φ = 67103292672.

The previous prime is 102100020193. The next prime is 102100020307. The reversal of 102100020201 is 102020001201.

It can be written as a sum of positive squares in 2 ways, for example, as 30758144400 + 71341875801 = 175380^2 + 267099^2 .

It is not a de Polignac number, because 102100020201 - 2³ = 102100020193 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 (102100020901) 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, 61616565 + ... + 61618221.

It is an arithmetic number, because the mean of its divisors is an integer number (4155406437).

Almost surely, 2^102100020201 is an apocalyptic number.

It is an amenable number.

102100020201 is a deficient number, since it is larger than the sum of its proper divisors (47494611531).

102100020201 is a wasteful number, since it uses less digits than its factorization.

102100020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100020201 its reverse (102020001201), we get a palindrome (204120021402).

The spelling of 102100020201 in words is "one hundred two billion, one hundred million, twenty thousand, two hundred one".