102210101223300 has 216 divisors, whose sum is σ = 366149383856256. Its totient is φ = 23361665172480.

The previous prime is 102210101223287. The next prime is 102210101223311. The reversal of 102210101223300 is 3322101012201.

102210101223300 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 1 + 0 + 122 + 330 + 0 = 666.

It is a super-3 number, since 3×102210101223300³ (a number of 43 digits) contains 333 as substring.

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, 250832524 + ... + 251239676.

Almost surely, 2^{102210101223300} is an apocalyptic number.

102210101223300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210101223300 is an abundant number, since it is smaller than the sum of its proper divisors (263939282632956).

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

102210101223300 is a wasteful number, since it uses less digits than its factorization.

102210101223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447027 (or 447017 counting only the distinct ones).

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

Adding to 102210101223300 its reverse (3322101012201), we get a palindrome (105532202235501).

The spelling of 102210101223300 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, two hundred twenty-three thousand, three hundred".