10220133000 has 512 divisors, whose sum is σ = 40154849280. Its totient is φ = 2102400000.

The previous prime is 10220132977. The next prime is 10220133023. The reversal of 10220133000 is 33102201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10220132977) and next prime (10220133023).

It is a super-2 number, since 2×10220133000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34880854 + ... + 34881146.

It is an arithmetic number, because the mean of its divisors is an integer number (78427440).

Almost surely, 2^10220133000 is an apocalyptic number.

10220133000 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 10220133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077424640).

10220133000 is an abundant number, since it is smaller than the sum of its proper divisors (29934716280).

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

10220133000 is a wasteful number, since it uses less digits than its factorization.

10220133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10220133000 its reverse (33102201), we get a palindrome (10253235201).

It can be divided in two parts, 102 and 20133000, that added together give a palindrome (20133102).

The spelling of 10220133000 in words is "ten billion, two hundred twenty million, one hundred thirty-three thousand".