1012001122100 has 36 divisors (see below), whose sum is σ = 2199696546348. Its totient is φ = 404126880000.

The previous prime is 1012001122043. The next prime is 1012001122103. The reversal of 1012001122100 is 12211002101.

It can be written as a sum of positive squares in 6 ways, for example, as 93708229924 + 918292892176 = 306118^2 + 958276^2 .

It is a super-2 number, since 2×1012001122100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012001122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8359211 + ... + 8479410.

It is an arithmetic number, because the mean of its divisors is an integer number (61102681843).

Almost surely, 2^{1012001122100} is an apocalyptic number.

1012001122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001122100 is an abundant number, since it is smaller than the sum of its proper divisors (1187695424248).

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

1012001122100 is a wasteful number, since it uses less digits than its factorization.

1012001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16839236 (or 16839229 counting only the distinct ones).

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

Adding to 1012001122100 its reverse (12211002101), we get a palindrome (1024212124201).

The spelling of 1012001122100 in words is "one trillion, twelve billion, one million, one hundred twenty-two thousand, one hundred".