10100122020 has 288 divisors, whose sum is σ = 32878669824. Its totient is φ = 2503987200.

The previous prime is 10100122009. The next prime is 10100122063. The reversal of 10100122020 is 2022100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100121993 and 10100122011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41909100 + ... + 41909340.

It is an arithmetic number, because the mean of its divisors is an integer number (114162048).

Almost surely, 2^10100122020 is an apocalyptic number.

10100122020 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 10100122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439334912).

10100122020 is an abundant number, since it is smaller than the sum of its proper divisors (22778547804).

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

10100122020 is a wasteful number, since it uses less digits than its factorization.

10100122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100122020 its reverse (2022100101), we get a palindrome (12122222121).

The spelling of 10100122020 in words is "ten billion, one hundred million, one hundred twenty-two thousand, twenty".