100121003122100 has 72 divisors (see below), whose sum is σ = 220119938088960. Its totient is φ = 39522192727680.

The previous prime is 100121003122099. The next prime is 100121003122117. The reversal of 100121003122100 is 1221300121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13132109 + ... + 19305291.

Almost surely, 2^{100121003122100} is an apocalyptic number.

100121003122100 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 100121003122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110059969044480).

100121003122100 is an abundant number, since it is smaller than the sum of its proper divisors (119998934966860).

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

100121003122100 is a wasteful number, since it uses less digits than its factorization.

100121003122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175329 (or 6175322 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100121003122100 its reverse (1221300121001), we get a palindrome (101342303243101).

The spelling of 100121003122100 in words is "one hundred trillion, one hundred twenty-one billion, three million, one hundred twenty-two thousand, one hundred".