100101211120120 has 256 divisors, whose sum is σ = 269434961141760. Its totient is φ = 32725665004032.

The previous prime is 100101211120003. The next prime is 100101211120121. The reversal of 100101211120120 is 21021112101001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101211120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101211120121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2772331107 + ... + 2772367213.

It is an arithmetic number, because the mean of its divisors is an integer number (1052480316960).

Almost surely, 2^{100101211120120} is an apocalyptic number.

100101211120120 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 100101211120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134717480570880).

100101211120120 is an abundant number, since it is smaller than the sum of its proper divisors (169333750021640).

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

100101211120120 is a wasteful number, since it uses less digits than its factorization.

100101211120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37482 (or 37478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100101211120120 its reverse (21021112101001), we get a palindrome (121122323221121).

The spelling of 100101211120120 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".