102100400410 has 32 divisors (see below), whose sum is σ = 185129682192. Its totient is φ = 40541207040.

The previous prime is 102100400387. The next prime is 102100400459. The reversal of 102100400410 is 14004001201.

It can be written as a sum of positive squares in 8 ways, for example, as 18257144161 + 83843256249 = 135119^2 + 289557^2 .

It is a super-4 number, since 4×102100400410⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 957534 + ... + 1058806.

Almost surely, 2^102100400410 is an apocalyptic number.

102100400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100400410 is a deficient number, since it is larger than the sum of its proper divisors (83029281782).

102100400410 is a wasteful number, since it uses less digits than its factorization.

102100400410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102018.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102100400410 its reverse (14004001201), we get a palindrome (116104401611).

The spelling of 102100400410 in words is "one hundred two billion, one hundred million, four hundred thousand, four hundred ten".