100122101202004 has 36 divisors (see below), whose sum is σ = 206110104035220. Its totient is φ = 42427343038080.

The previous prime is 100122101201971. The next prime is 100122101202017. The reversal of 100122101202004 is 400202101221001.

It can be written as a sum of positive squares in 2 ways, for example, as 14180857999504 + 85941243202500 = 3765748^2 + 9270450^2 .

It is a super-2 number, since 2×100122101202004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2869797427 + ... + 2869832314.

It is an arithmetic number, because the mean of its divisors is an integer number (5725280667645).

Almost surely, 2^{100122101202004} is an apocalyptic number.

100122101202004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100122101202004 is an abundant number, since it is smaller than the sum of its proper divisors (105988002833216).

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

100122101202004 is a wasteful number, since it uses less digits than its factorization.

100122101202004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739629848 (or 5739629839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122101202004 its reverse (400202101221001), we get a palindrome (500324202423005).

The spelling of 100122101202004 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred two thousand, four".