100001200220120 has 128 divisors (see below), whose sum is σ = 249009995283840. Its totient is φ = 35950741094400.

The previous prime is 100001200220107. The next prime is 100001200220153. The reversal of 100001200220120 is 21022002100001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4080224 + ... + 14719056.

It is an arithmetic number, because the mean of its divisors is an integer number (1945390588155).

Almost surely, 2^{100001200220120} is an apocalyptic number.

100001200220120 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 100001200220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124504997641920).

100001200220120 is an abundant number, since it is smaller than the sum of its proper divisors (149008795063720).

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

100001200220120 is a wasteful number, since it uses less digits than its factorization.

100001200220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10639485 (or 10639481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100001200220120 its reverse (21022002100001), we get a palindrome (121023202320121).

The spelling of 100001200220120 in words is "one hundred trillion, one billion, two hundred million, two hundred twenty thousand, one hundred twenty".