1002101100 has 576 divisors, whose sum is σ = 4031741952. Its totient is φ = 185472000.

The previous prime is 1002101077. The next prime is 1002101123. The reversal of 1002101100 is 11012001.

It is an interprime number because it is at equal distance from previous prime (1002101077) and next prime (1002101123).

It is a super-2 number, since 2×1002101100² = 2008413229242420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14114065 + ... + 14114135.

It is an arithmetic number, because the mean of its divisors is an integer number (6999552).

Almost surely, 2^1002101100 is an apocalyptic number.

1002101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015870976).

1002101100 is an abundant number, since it is smaller than the sum of its proper divisors (3029640852).

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

1002101100 is a wasteful number, since it uses less digits than its factorization.

1002101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1002101100 is about 31655.9804776286. The cubic root of 1002101100 is about 1000.6998767250.

Adding to 1002101100 its reverse (11012001), we get a palindrome (1013113101).

The spelling of 1002101100 in words is "one billion, two million, one hundred one thousand, one hundred".