102210222203100 has 720 divisors, whose sum is σ = 370121310303360. Its totient is φ = 24184333555200.

The previous prime is 102210222203081. The next prime is 102210222203239. The reversal of 102210222203100 is 1302222012201.

102210222203100 is a `hidden beast` number, since 10 + 22 + 102 + 2 + 220 + 310 + 0 = 666.

It is a super-2 number, since 2×102210222203100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5681808906 + ... + 5681826894.

Almost surely, 2^{102210222203100} is an apocalyptic number.

102210222203100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210222203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185060655151680).

102210222203100 is an abundant number, since it is smaller than the sum of its proper divisors (267911088100260).

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

102210222203100 is a wasteful number, since it uses less digits than its factorization.

102210222203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19552 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102210222203100 its reverse (1302222012201), we get a palindrome (103512444215301).

The spelling of 102210222203100 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty-two million, two hundred three thousand, one hundred".