103212230012100 has 216 divisors, whose sum is σ = 354714769176768. Its totient is φ = 24894135302400.

The previous prime is 103212230012083. The next prime is 103212230012113. The reversal of 103212230012100 is 1210032212301.

103212230012100 is a `hidden beast` number, since 1 + 0 + 32 + 122 + 300 + 1 + 210 + 0 = 666.

It is a super-3 number, since 3×103212230012100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24510304 + ... + 28410903.

It is an arithmetic number, because the mean of its divisors is an integer number (1642198005448).

Almost surely, 2^{103212230012100} is an apocalyptic number.

103212230012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212230012100 is an abundant number, since it is smaller than the sum of its proper divisors (251502539164668).

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

103212230012100 is a wasteful number, since it uses less digits than its factorization.

103212230012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52921435 (or 52921425 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103212230012100 its reverse (1210032212301), we get a palindrome (104422262224401).

The spelling of 103212230012100 in words is "one hundred three trillion, two hundred twelve billion, two hundred thirty million, twelve thousand, one hundred".