10012122100 has 72 divisors (see below), whose sum is σ = 22340820096. Its totient is φ = 3892320000.

The previous prime is 10012122077. The next prime is 10012122101. The reversal of 10012122100 is 122121001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012122101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106595 + ... + 1115605.

It is an arithmetic number, because the mean of its divisors is an integer number (310289168).

Almost surely, 2^10012122100 is an apocalyptic number.

10012122100 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 10012122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170410048).

10012122100 is an abundant number, since it is smaller than the sum of its proper divisors (12328697996).

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

10012122100 is a wasteful number, since it uses less digits than its factorization.

10012122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9337 (or 9330 counting only the distinct ones).

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

Adding to 10012122100 its reverse (122121001), we get a palindrome (10134243101).

It can be divided in two parts, 100121 and 22100, that added together give a palindrome (122221).

The spelling of 10012122100 in words is "ten billion, twelve million, one hundred twenty-two thousand, one hundred".