100121200222100 has 144 divisors (see below), whose sum is σ = 220130797446000. Its totient is φ = 39522631680000.

The previous prime is 100121200222093. The next prime is 100121200222111. The reversal of 100121200222100 is 1222002121001.

It can be written as a sum of positive squares in 24 ways, for example, as 73320927319696 + 26800272902404 = 8562764^2 + 5176898^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4575703160 + ... + 4575725040.

It is an arithmetic number, because the mean of its divisors is an integer number (1528686093375).

Almost surely, 2^{100121200222100} is an apocalyptic number.

100121200222100 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 100121200222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110065398723000).

100121200222100 is an abundant number, since it is smaller than the sum of its proper divisors (120009597223900).

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

100121200222100 is a wasteful number, since it uses less digits than its factorization.

100121200222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23454 (or 23447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121200222100 its reverse (1222002121001), we get a palindrome (101343202343101).

The spelling of 100121200222100 in words is "one hundred trillion, one hundred twenty-one billion, two hundred million, two hundred twenty-two thousand, one hundred".