10122000101100 has 216 divisors, whose sum is σ = 32590286220128. Its totient is φ = 2625768576000.

The previous prime is 10122000101069. The next prime is 10122000101111. The reversal of 10122000101100 is 110100022101.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204803592 + ... + 204853008.

Almost surely, 2^{10122000101100} is an apocalyptic number.

10122000101100 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 10122000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295143110064).

10122000101100 is an abundant number, since it is smaller than the sum of its proper divisors (22468286119028).

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

10122000101100 is a wasteful number, since it uses less digits than its factorization.

10122000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55625 (or 55615 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10122000101100 its reverse (110100022101), we get a palindrome (10232100123201).

The spelling of 10122000101100 in words is "ten trillion, one hundred twenty-two billion, one hundred one thousand, one hundred".