100225313002051 has 32 divisors (see below), whose sum is σ = 105267170816640. Its totient is φ = 95241907200000.

The previous prime is 100225313002037. The next prime is 100225313002099. The reversal of 100225313002051 is 150200313522001.

It is a cyclic number.

It is not a de Polignac number, because 100225313002051 - 2⁷ = 100225313001923 is a prime.

It is a super-2 number, since 2×100225313002051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100225313002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18219468801 + ... + 18219474301.

It is an arithmetic number, because the mean of its divisors is an integer number (3289599088020).

Almost surely, 2^{100225313002051} is an apocalyptic number.

100225313002051 is a deficient number, since it is larger than the sum of its proper divisors (5041857814589).

100225313002051 is a wasteful number, since it uses less digits than its factorization.

100225313002051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 100225313002051 its reverse (150200313522001), we get a palindrome (250425626524052).

The spelling of 100225313002051 in words is "one hundred trillion, two hundred twenty-five billion, three hundred thirteen million, two thousand, fifty-one".