100022120110100 has 18 divisors (see below), whose sum is σ = 217048000639134. Its totient is φ = 40008848044000.

The previous prime is 100022120110093. The next prime is 100022120110103. The reversal of 100022120110100 is 1011021220001.

It can be written as a sum of positive squares in 3 ways, for example, as 13289145303184 + 86732974806916 = 3645428^2 + 9313054^2 .

It is a super-2 number, since 2×100022120110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022120110103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500110600451 + ... + 500110600650.

Almost surely, 2^{100022120110100} is an apocalyptic number.

100022120110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022120110100 is an abundant number, since it is smaller than the sum of its proper divisors (117025880529034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100022120110100 is a wasteful number, since it uses less digits than its factorization.

100022120110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000221201115 (or 1000221201108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100022120110100 its reverse (1011021220001), we get a palindrome (101033141330101).

The spelling of 100022120110100 in words is "one hundred trillion, twenty-two billion, one hundred twenty million, one hundred ten thousand, one hundred".