101200211010100 has 36 divisors (see below), whose sum is σ = 219606263816044. Its totient is φ = 40479751514880.

The previous prime is 101200211010091. The next prime is 101200211010103. The reversal of 101200211010100 is 1010112002101.

It can be written as a sum of positive squares in 6 ways, for example, as 2484898238736 + 98715312771364 = 1576356^2 + 9935558^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200211010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8243902 + ... + 16442698.

Almost surely, 2^{101200211010100} is an apocalyptic number.

101200211010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200211010100 is an abundant number, since it is smaller than the sum of its proper divisors (118406052805944).

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

101200211010100 is a wasteful number, since it uses less digits than its factorization.

101200211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322244 (or 8322237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101200211010100 its reverse (1010112002101), we get a palindrome (102210323012201).

The spelling of 101200211010100 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, ten thousand, one hundred".