101003412400 has 120 divisors (see below), whose sum is σ = 280292778864. Its totient is φ = 34567987200.

The previous prime is 101003412371. The next prime is 101003412401. The reversal of 101003412400 is 4214300101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101003412401) 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, 600357 + ... + 749956.

Almost surely, 2^101003412400 is an apocalyptic number.

101003412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003412400 is an abundant number, since it is smaller than the sum of its proper divisors (179289366464).

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

101003412400 is a wasteful number, since it uses less digits than its factorization.

101003412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350359 (or 1350348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101003412400 its reverse (4214300101), we get a palindrome (105217712501).

It can be divided in two parts, 10100 and 3412400, that added together give a square (3422500 = 1850²).

The spelling of 101003412400 in words is "one hundred one billion, three million, four hundred twelve thousand, four hundred".