100021350105 has 48 divisors (see below), whose sum is σ = 176788170000. Its totient is φ = 52294754304.

The previous prime is 100021350103. The next prime is 100021350131. The reversal of 100021350105 is 501053120001.

It can be written as a sum of positive squares in 8 ways, for example, as 1172103696 + 98849246409 = 34236^2 + 314403^2 .

It is not a de Polignac number, because 100021350105 - 2¹ = 100021350103 is a prime.

It is a super-2 number, since 2×100021350105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100021350101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2962077 + ... + 2995653.

It is an arithmetic number, because the mean of its divisors is an integer number (3683086875).

Almost surely, 2^100021350105 is an apocalyptic number.

100021350105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100021350105 is a deficient number, since it is larger than the sum of its proper divisors (76766819895).

100021350105 is a wasteful number, since it uses less digits than its factorization.

100021350105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34890 (or 34887 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 100021350105 its reverse (501053120001), we get a palindrome (601074470106).

The spelling of 100021350105 in words is "one hundred billion, twenty-one million, three hundred fifty thousand, one hundred five".