101200102101 has 24 divisors (see below), whose sum is σ = 167090626560. Its totient is φ = 57818196576.

The previous prime is 101200102079. The next prime is 101200102103. The reversal of 101200102101 is 101201002101.

It is a happy number.

It is not a de Polignac number, because 101200102101 - 2²⁷ = 101065884373 is a prime.

It is a super-2 number, since 2×101200102101² (a number of 23 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 (101200102103) 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 23 ways as a sum of consecutive naturals, for example, 214060 + ... + 498218.

It is an arithmetic number, because the mean of its divisors is an integer number (6962109440).

Almost surely, 2^101200102101 is an apocalyptic number.

It is an amenable number.

101200102101 is a deficient number, since it is larger than the sum of its proper divisors (65890524459).

101200102101 is a wasteful number, since it uses less digits than its factorization.

101200102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289825 (or 289822 counting only the distinct ones).

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

Adding to 101200102101 its reverse (101201002101), we get a palindrome (202401104202).

The spelling of 101200102101 in words is "one hundred one billion, two hundred million, one hundred two thousand, one hundred one".