1201012120100 has 36 divisors (see below), whose sum is σ = 2806672942164. Its totient is φ = 443450628480.

The previous prime is 1201012120097. The next prime is 1201012120109. The reversal of 1201012120100 is 10212101021.

It can be written as a sum of positive squares in 6 ways, for example, as 533238773824 + 667773346276 = 730232^2 + 817174^2 .

It is a super-2 number, since 2×1201012120100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1201012120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461926439 + ... + 461929038.

Almost surely, 2^{1201012120100} is an apocalyptic number.

1201012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201012120100 is an abundant number, since it is smaller than the sum of its proper divisors (1605660822064).

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

1201012120100 is a wasteful number, since it uses less digits than its factorization.

1201012120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923855504 (or 923855497 counting only the distinct ones).

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

Adding to 1201012120100 its reverse (10212101021), we get a palindrome (1211224221121).

The spelling of 1201012120100 in words is "one trillion, two hundred one billion, twelve million, one hundred twenty thousand, one hundred".