10122101100 has 216 divisors, whose sum is σ = 33347153840. Its totient is φ = 2564835840.

The previous prime is 10122101081. The next prime is 10122101107. The reversal of 10122101100 is 110122101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10122101107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1428366 + ... + 1435434.

Almost surely, 2^10122101100 is an apocalyptic number.

10122101100 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 10122101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16673576920).

10122101100 is an abundant number, since it is smaller than the sum of its proper divisors (23225052740).

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

10122101100 is a wasteful number, since it uses less digits than its factorization.

10122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7159 counting only the distinct ones).

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

Adding to 10122101100 its reverse (110122101), we get a palindrome (10232223201).

The spelling of 10122101100 in words is "ten billion, one hundred twenty-two million, one hundred one thousand, one hundred".