102100000401 has 96 divisors (see below), whose sum is σ = 177348787200. Its totient is φ = 55368593280.

The previous prime is 102100000391. The next prime is 102100000411. The reversal of 102100000401 is 104000001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102100000391) and next prime (102100000411).

It is not a de Polignac number, because 102100000401 - 2¹¹ = 102099998353 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 (102100000411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105148846 + ... + 105149816.

It is an arithmetic number, because the mean of its divisors is an integer number (1847383200).

Almost surely, 2^102100000401 is an apocalyptic number.

It is an amenable number.

102100000401 is a deficient number, since it is larger than the sum of its proper divisors (75248786799).

102100000401 is a wasteful number, since it uses less digits than its factorization.

102100000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1936 counting only the distinct ones).

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

Adding to 102100000401 its reverse (104000001201), we get a palindrome (206100001602).

The spelling of 102100000401 in words is "one hundred two billion, one hundred million, four hundred one", and thus it is an aban number.