101020102200 has 144 divisors (see below), whose sum is σ = 350957950200. Its totient is φ = 26009760000.

The previous prime is 101020102193. The next prime is 101020102207. The reversal of 101020102200 is 2201020101.

It is an interprime number because it is at equal distance from previous prime (101020102193) and next prime (101020102207).

It is a super-2 number, since 2×101020102200² (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 (101020102207) 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 35 ways as a sum of consecutive naturals, for example, 915426 + ... + 1019825.

Almost surely, 2^101020102200 is an apocalyptic number.

101020102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020102200 is an abundant number, since it is smaller than the sum of its proper divisors (249937848000).

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

101020102200 is a wasteful number, since it uses less digits than its factorization.

101020102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935302 (or 1935290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020102200 its reverse (2201020101), we get a palindrome (103221122301).

The spelling of 101020102200 in words is "one hundred one billion, twenty million, one hundred two thousand, two hundred".