100022100101 has 24 divisors (see below), whose sum is σ = 127456560000. Its totient is φ = 77615798400.

The previous prime is 100022100089. The next prime is 100022100109. The reversal of 100022100101 is 101001220001.

It is not a de Polignac number, because 100022100101 - 2¹⁸ = 100021837957 is a prime.

It is a super-2 number, since 2×100022100101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255101 + ... + 514898.

It is an arithmetic number, because the mean of its divisors is an integer number (5310690000).

Almost surely, 2^100022100101 is an apocalyptic number.

100022100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100022100101 is a deficient number, since it is larger than the sum of its proper divisors (27434459899).

100022100101 is a wasteful number, since it uses less digits than its factorization.

100022100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770265 (or 770258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100022100101 its reverse (101001220001), we get a palindrome (201023320102).

The spelling of 100022100101 in words is "one hundred billion, twenty-two million, one hundred thousand, one hundred one".