100121310 has 48 divisors (see below), whose sum is σ = 261683136. Its totient is φ = 26558784.

The previous prime is 100121299. The next prime is 100121321. The reversal of 100121310 is 13121001.

It is an interprime number because it is at equal distance from previous prime (100121299) and next prime (100121321).

It is a super-2 number, since 2×100121310² = 20048553432232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100121292 and 100121301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14907 + ... + 20553.

It is an arithmetic number, because the mean of its divisors is an integer number (5451732).

Almost surely, 2^100121310 is an apocalyptic number.

100121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130841568).

100121310 is an abundant number, since it is smaller than the sum of its proper divisors (161561826).

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

100121310 is a wasteful number, since it uses less digits than its factorization.

100121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100121310 is about 10006.0636616004. The cubic root of 100121310 is about 464.3464978971.

Adding to 100121310 its reverse (13121001), we get a palindrome (113242311).

The spelling of 100121310 in words is "one hundred million, one hundred twenty-one thousand, three hundred ten".