101200102011 has 48 divisors (see below), whose sum is σ = 153016063200. Its totient is φ = 64389911040.

The previous prime is 101200101943. The next prime is 101200102013. The reversal of 101200102011 is 110201002101.

It is a happy number.

It is not a de Polignac number, because 101200102011 - 2¹⁰ = 101200100987 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101200101984 and 101200102002.

It is not an unprimeable number, because it can be changed into a prime (101200102013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6817980 + ... + 6832806.

It is an arithmetic number, because the mean of its divisors is an integer number (3187834650).

Almost surely, 2^101200102011 is an apocalyptic number.

101200102011 is a deficient number, since it is larger than the sum of its proper divisors (51815961189).

101200102011 is a wasteful number, since it uses less digits than its factorization.

101200102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15276 (or 15273 counting only the distinct ones).

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

Adding to 101200102011 its reverse (110201002101), we get a palindrome (211401104112).

The spelling of 101200102011 in words is "one hundred one billion, two hundred million, one hundred two thousand, eleven".