100001010022120 has 32 divisors (see below), whose sum is σ = 227230017831720. Its totient is φ = 39604360403200.

The previous prime is 100001010022031. The next prime is 100001010022127. The reversal of 100001010022120 is 21220010100001.

It can be written as a sum of positive squares in 4 ways, for example, as 73510698050244 + 26490311971876 = 8573838^2 + 5146874^2 .

It is a super-3 number, since 3×100001010022120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100001010022097 and 100001010022106.

It is not an unprimeable number, because it can be changed into a prime (100001010022127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12376358587 + ... + 12376366666.

Almost surely, 2^{100001010022120} is an apocalyptic number.

100001010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001010022120 is an abundant number, since it is smaller than the sum of its proper divisors (127229007809600).

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

100001010022120 is a wasteful number, since it uses less digits than its factorization.

100001010022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24752725365 (or 24752725361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100001010022120 its reverse (21220010100001), we get a palindrome (121221020122121).

The spelling of 100001010022120 in words is "one hundred trillion, one billion, ten million, twenty-two thousand, one hundred twenty".