1000122012100 has 18 divisors (see below), whose sum is σ = 2170264766474. Its totient is φ = 400048804800.

The previous prime is 1000122012077. The next prime is 1000122012119. The reversal of 1000122012100 is 12102210001.

It can be written as a sum of positive squares in 3 ways, for example, as 55217480256 + 944904531844 = 234984^2 + 972062^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5000609961 + ... + 5000610160.

Almost surely, 2^{1000122012100} is an apocalyptic number.

1000122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000122012100 is an abundant number, since it is smaller than the sum of its proper divisors (1170142754374).

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

1000122012100 is a wasteful number, since it uses less digits than its factorization.

1000122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001220135 (or 10001220128 counting only the distinct ones).

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

Adding to 1000122012100 its reverse (12102210001), we get a palindrome (1012224222101).

It can be divided in two parts, 100012 and 2012100, that added together give a palindrome (2112112).

The spelling of 1000122012100 in words is "one trillion, one hundred twenty-two million, twelve thousand, one hundred".