1000102110100 has 72 divisors (see below), whose sum is σ = 2219286706560. Its totient is φ = 391018782720.

The previous prime is 1000102110089. The next prime is 1000102110103. The reversal of 1000102110100 is 10112010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3475947 + ... + 3752653.

It is an arithmetic number, because the mean of its divisors is an integer number (30823426480).

Almost surely, 2^{1000102110100} is an apocalyptic number.

1000102110100 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 1000102110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109643353280).

1000102110100 is an abundant number, since it is smaller than the sum of its proper divisors (1219184596460).

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

1000102110100 is a wasteful number, since it uses less digits than its factorization.

1000102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277537 (or 277530 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000102110100 its reverse (10112010001), we get a palindrome (1010214120101).

The spelling of 1000102110100 in words is "one trillion, one hundred two million, one hundred ten thousand, one hundred".