1201002012100 has 72 divisors (see below), whose sum is σ = 2903590908288. Its totient is φ = 427435900800.

The previous prime is 1201002012037. The next prime is 1201002012103. The reversal of 1201002012100 is 12102001021.

It is a super-3 number, since 3×1201002012100³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1201002012103) 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 23 ways as a sum of consecutive naturals, for example, 11563407 + ... + 11666806.

It is an arithmetic number, because the mean of its divisors is an integer number (40327651504).

Almost surely, 2^{1201002012100} is an apocalyptic number.

1201002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201002012100 is an abundant number, since it is smaller than the sum of its proper divisors (1702588896188).

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

1201002012100 is a wasteful number, since it uses less digits than its factorization.

1201002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23230285 (or 23230278 counting only the distinct ones).

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

Adding to 1201002012100 its reverse (12102001021), we get a palindrome (1213104013121).

The spelling of 1201002012100 in words is "one trillion, two hundred one billion, two million, twelve thousand, one hundred".