101010122100 has 216 divisors, whose sum is σ = 326168781848. Its totient is φ = 26127360000.

The previous prime is 101010122099. The next prime is 101010122107. The reversal of 101010122100 is 1221010101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 32352497424 + 68657624676 = 179868^2 + 262026^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11217600 + ... + 11226600.

Almost surely, 2^101010122100 is an apocalyptic number.

101010122100 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 101010122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163084390924).

101010122100 is an abundant number, since it is smaller than the sum of its proper divisors (225158659748).

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

101010122100 is a wasteful number, since it uses less digits than its factorization.

101010122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395 (or 9385 counting only the distinct ones).

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

Adding to 101010122100 its reverse (1221010101), we get a palindrome (102231132201).

The spelling of 101010122100 in words is "one hundred one billion, ten million, one hundred twenty-two thousand, one hundred".