100410213025 has 24 divisors (see below), whose sum is σ = 125933745528. Its totient is φ = 79411200000.

The previous prime is 100410212983. The next prime is 100410213037. The reversal of 100410213025 is 520312014001.

It can be written as a sum of positive squares in 12 ways, for example, as 4208506129 + 96201706896 = 64873^2 + 310164^2 .

It is not a de Polignac number, because 100410213025 - 2⁷ = 100410212897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100410212993 and 100410213011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638945 + ... + 1699105.

It is an arithmetic number, because the mean of its divisors is an integer number (5247239397).

Almost surely, 2^100410213025 is an apocalyptic number.

It is an amenable number.

100410213025 is a deficient number, since it is larger than the sum of its proper divisors (25523532503).

100410213025 is a wasteful number, since it uses less digits than its factorization.

100410213025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60933 (or 60928 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 100410213025 its reverse (520312014001), we get a palindrome (620722227026).

The spelling of 100410213025 in words is "one hundred billion, four hundred ten million, two hundred thirteen thousand, twenty-five".