100121022101120 has 128 divisors (see below), whose sum is σ = 249784008439680. Its totient is φ = 38303248896000.

The previous prime is 100121022101077. The next prime is 100121022101141. The reversal of 100121022101120 is 21101220121001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 100121022101095 and 100121022101104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145399235 + ... + 146086205.

It is an arithmetic number, because the mean of its divisors is an integer number (1951437565935).

Almost surely, 2^{100121022101120} is an apocalyptic number.

100121022101120 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 100121022101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124892004219840).

100121022101120 is an abundant number, since it is smaller than the sum of its proper divisors (149662986338560).

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

100121022101120 is an equidigital number, since it uses as much as digits as its factorization.

100121022101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696914 (or 696902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121022101120 its reverse (21101220121001), we get a palindrome (121222242222121).

The spelling of 100121022101120 in words is "one hundred trillion, one hundred twenty-one billion, twenty-two million, one hundred one thousand, one hundred twenty".