10122011020 has 96 divisors (see below), whose sum is σ = 23913066240. Its totient is φ = 3567432960.

The previous prime is 10122010993. The next prime is 10122011041. The reversal of 10122011020 is 2011022101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10122010988 and 10122011006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962551 + ... + 973009.

It is an arithmetic number, because the mean of its divisors is an integer number (249094440).

Almost surely, 2^10122011020 is an apocalyptic number.

10122011020 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 10122011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956533120).

10122011020 is an abundant number, since it is smaller than the sum of its proper divisors (13791055220).

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

10122011020 is a wasteful number, since it uses less digits than its factorization.

10122011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122011020 its reverse (2011022101), we get a palindrome (12133033121).

The spelling of 10122011020 in words is "ten billion, one hundred twenty-two million, eleven thousand, twenty".