10101133020 has 192 divisors, whose sum is σ = 32576140800. Its totient is φ = 2312893440.

The previous prime is 10101133019. The next prime is 10101133033. The reversal of 10101133020 is 2033110101.

It is a super-3 number, since 3×10101133020³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10101132987 and 10101133005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4977366 + ... + 4979394.

It is an arithmetic number, because the mean of its divisors is an integer number (169667400).

Almost surely, 2^10101133020 is an apocalyptic number.

10101133020 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 10101133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288070400).

10101133020 is an abundant number, since it is smaller than the sum of its proper divisors (22475007780).

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

10101133020 is a wasteful number, since it uses less digits than its factorization.

10101133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101133020 its reverse (2033110101), we get a palindrome (12134243121).

The spelling of 10101133020 in words is "ten billion, one hundred one million, one hundred thirty-three thousand, twenty".