100003130122221 has 96 divisors (see below), whose sum is σ = 161086720204800. Its totient is φ = 59460342239232.

The previous prime is 100003130122219. The next prime is 100003130122261. The reversal of 100003130122221 is 122221031300001.

100003130122221 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 313 + 0 + 122 + 221 = 666.

It is not a de Polignac number, because 100003130122221 - 2¹ = 100003130122219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100003130122194 and 100003130122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003130122261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200569785 + ... + 201067761.

It is an arithmetic number, because the mean of its divisors is an integer number (1677986668800).

Almost surely, 2^{100003130122221} is an apocalyptic number.

It is an amenable number.

100003130122221 is a deficient number, since it is larger than the sum of its proper divisors (61083590082579).

100003130122221 is a wasteful number, since it uses less digits than its factorization.

100003130122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498555 (or 498552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100003130122221 its reverse (122221031300001), we get a palindrome (222224161422222).

The spelling of 100003130122221 in words is "one hundred trillion, three billion, one hundred thirty million, one hundred twenty-two thousand, two hundred twenty-one".