10122212100 has 576 divisors, whose sum is σ = 40429412352. Its totient is φ = 1886976000.

The previous prime is 10122212099. The next prime is 10122212197. The reversal of 10122212100 is 121222101.

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 191 ways as a sum of consecutive naturals, for example, 11110645 + ... + 11111555.

It is an arithmetic number, because the mean of its divisors is an integer number (70189952).

Almost surely, 2^10122212100 is an apocalyptic number.

10122212100 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 10122212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214706176).

10122212100 is an abundant number, since it is smaller than the sum of its proper divisors (30307200252).

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

10122212100 is a wasteful number, since it uses less digits than its factorization.

10122212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122212100 its reverse (121222101), we get a palindrome (10243434201).

It can be divided in two parts, 10122 and 212100, that added together give a palindrome (222222).

The spelling of 10122212100 in words is "ten billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".