10222101233100 has 216 divisors, whose sum is σ = 33232389376368. Its totient is φ = 2625960384000.

The previous prime is 10222101233053. The next prime is 10222101233101. The reversal of 10222101233100 is 133210122201.

10222101233100 is a `hidden beast` number, since 1 + 0 + 22 + 210 + 123 + 310 + 0 = 666.

It is a super-2 number, since 2×10222101233100² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10222101233101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1843647 + ... + 4882953.

Almost surely, 2^{10222101233100} is an apocalyptic number.

10222101233100 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 10222101233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616194688184).

10222101233100 is an abundant number, since it is smaller than the sum of its proper divisors (23010288143268).

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

10222101233100 is a wasteful number, since it uses less digits than its factorization.

10222101233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039465 (or 3039455 counting only the distinct ones).

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

Adding to 10222101233100 its reverse (133210122201), we get a palindrome (10355311355301).

The spelling of 10222101233100 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, two hundred thirty-three thousand, one hundred".