10102200101 has 12 divisors (see below), whose sum is σ = 11757867660. Its totient is φ = 8654365440.

The previous prime is 10102200091. The next prime is 10102200107. The reversal of 10102200101 is 10100220101.

It can be written as a sum of positive squares in 2 ways, for example, as 7841102500 + 2261097601 = 88550^2 + 47551^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10102200101 is a prime.

It is a super-3 number, since 3×10102200101³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102200107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37991 + ... + 147131.

It is an arithmetic number, because the mean of its divisors is an integer number (979822305).

Almost surely, 2^10102200101 is an apocalyptic number.

It is an amenable number.

10102200101 is a deficient number, since it is larger than the sum of its proper divisors (1655667559).

10102200101 is a wasteful number, since it uses less digits than its factorization.

10102200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111044 (or 111037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10102200101 its reverse (10100220101), we get a palindrome (20202420202).

The spelling of 10102200101 in words is "ten billion, one hundred two million, two hundred thousand, one hundred one".