103012001100 has 252 divisors, whose sum is σ = 336184144296. Its totient is φ = 27385205760.

The previous prime is 103012001093. The next prime is 103012001107. The reversal of 103012001100 is 1100210301.

It is an interprime number because it is at equal distance from previous prime (103012001093) and next prime (103012001107).

It is a super-2 number, since 2×103012001100² (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 not an unprimeable number, because it can be changed into a prime (103012001107) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25731699 + ... + 25735701.

Almost surely, 2^103012001100 is an apocalyptic number.

103012001100 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 103012001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168092072148).

103012001100 is an abundant number, since it is smaller than the sum of its proper divisors (233172143196).

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

103012001100 is a wasteful number, since it uses less digits than its factorization.

103012001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4366 counting only the distinct ones).

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

Adding to 103012001100 its reverse (1100210301), we get a palindrome (104112211401).

The spelling of 103012001100 in words is "one hundred three billion, twelve million, one thousand, one hundred".