100120202001120 has 768 divisors, whose sum is σ = 373472928202752. Its totient is φ = 22062461460480.

The previous prime is 100120202001101. The next prime is 100120202001121. The reversal of 100120202001120 is 21100202021001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100120202001096 and 100120202001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120202001121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35216390419 + ... + 35216393261.

It is an arithmetic number, because the mean of its divisors is an integer number (486292875264).

Almost surely, 2^{100120202001120} is an apocalyptic number.

100120202001120 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 100120202001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186736464101376).

100120202001120 is an abundant number, since it is smaller than the sum of its proper divisors (273352726201632).

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

100120202001120 is a wasteful number, since it uses less digits than its factorization.

100120202001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120202001120 its reverse (21100202021001), we get a palindrome (121220404022121).

The spelling of 100120202001120 in words is "one hundred trillion, one hundred twenty billion, two hundred two million, one thousand, one hundred twenty".