1000122120100 has 18 divisors (see below), whose sum is σ = 2170265000834. Its totient is φ = 400048848000.

The previous prime is 1000122120091. The next prime is 1000122120113. The reversal of 1000122120100 is 10212210001.

It can be written as a sum of positive squares in 3 ways, for example, as 78307067556 + 921815052544 = 279834^2 + 960112^2 .

It is a super-3 number, since 3×1000122120100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 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, 5000610501 + ... + 5000610700.

Almost surely, 2^{1000122120100} is an apocalyptic number.

1000122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000122120100 is an abundant number, since it is smaller than the sum of its proper divisors (1170142880734).

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

1000122120100 is a wasteful number, since it uses less digits than its factorization.

1000122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001221215 (or 10001221208 counting only the distinct ones).

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

Adding to 1000122120100 its reverse (10212210001), we get a palindrome (1010334330101).

The spelling of 1000122120100 in words is "one trillion, one hundred twenty-two million, one hundred twenty thousand, one hundred".