1200100102101 has 18 divisors (see below), whose sum is σ = 1841445412482. Its totient is φ = 753003984000.

The previous prime is 1200100102087. The next prime is 1200100102121. The reversal of 1200100102101 is 1012010010021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 523848803076 + 676251299025 = 723774^2 + 822345^2 .

It is not a de Polignac number, because 1200100102101 - 2¹⁹ = 1200099577813 is a prime.

It is a super-2 number, since 2×1200100102101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200100102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230697150 + ... + 230702351.

Almost surely, 2^{1200100102101} is an apocalyptic number.

It is an amenable number.

1200100102101 is a deficient number, since it is larger than the sum of its proper divisors (641345310381).

1200100102101 is a wasteful number, since it uses less digits than its factorization.

1200100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461399541 (or 461399521 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1200100102101 its reverse (1012010010021), we get a palindrome (2212110112122).

The spelling of 1200100102101 in words is "one trillion, two hundred billion, one hundred million, one hundred two thousand, one hundred one".