103212100132400 has 120 divisors (see below), whose sum is σ = 293163039325920. Its totient is φ = 34166764154880.

The previous prime is 103212100132387. The next prime is 103212100132423. The reversal of 103212100132400 is 4231001212301.

It is a super-2 number, since 2×103212100132400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 635461289 + ... + 635623688.

It is an arithmetic number, because the mean of its divisors is an integer number (2443025327716).

Almost surely, 2^{103212100132400} is an apocalyptic number.

103212100132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212100132400 is an abundant number, since it is smaller than the sum of its proper divisors (189950939193520).

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

103212100132400 is a wasteful number, since it uses less digits than its factorization.

103212100132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271085031 (or 1271085020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103212100132400 its reverse (4231001212301), we get a palindrome (107443101344701).

The spelling of 103212100132400 in words is "one hundred three trillion, two hundred twelve billion, one hundred million, one hundred thirty-two thousand, four hundred".