214432214202100 has 18 divisors (see below), whose sum is σ = 465317904818774. Its totient is φ = 85772885680800.

The previous prime is 214432214202067. The next prime is 214432214202109. The reversal of 214432214202100 is 1202412234412.

It can be written as a sum of positive squares in 3 ways, for example, as 180526096 + 214432033676004 = 13436^2 + 14643498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214432214202109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1072161070911 + ... + 1072161071110.

Almost surely, 2^{214432214202100} is an apocalyptic number.

214432214202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214432214202100 is an abundant number, since it is smaller than the sum of its proper divisors (250885690616674).

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

214432214202100 is a wasteful number, since it uses less digits than its factorization.

214432214202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144322142035 (or 2144322142028 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 214432214202100 its reverse (1202412234412), we get a palindrome (215634626436512).

The spelling of 214432214202100 in words is "two hundred fourteen trillion, four hundred thirty-two billion, two hundred fourteen million, two hundred two thousand, one hundred".