102214132400 has 60 divisors (see below), whose sum is σ = 245616862104. Its totient is φ = 40877760000.

The previous prime is 102214132343. The next prime is 102214132411. The reversal of 102214132400 is 4231412201.

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 11 ways as a sum of consecutive naturals, for example, 2330675 + ... + 2374125.

Almost surely, 2^102214132400 is an apocalyptic number.

102214132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102214132400 is an abundant number, since it is smaller than the sum of its proper divisors (143402729704).

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

102214132400 is a wasteful number, since it uses less digits than its factorization.

102214132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49350 (or 49339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102214132400 its reverse (4231412201), we get a palindrome (106445544601).

The spelling of 102214132400 in words is "one hundred two billion, two hundred fourteen million, one hundred thirty-two thousand, four hundred".