100020220000120 has 64 divisors (see below), whose sum is σ = 257257144267200. Its totient is φ = 34284341145600.

The previous prime is 100020220000081. The next prime is 100020220000121. The reversal of 100020220000120 is 21000022020001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100020220000097 and 100020220000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020220000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42100731 + ... + 44412970.

It is an arithmetic number, because the mean of its divisors is an integer number (4019642879175).

Almost surely, 2^{100020220000120} is an apocalyptic number.

100020220000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020220000120 is an abundant number, since it is smaller than the sum of its proper divisors (157236924267080).

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

100020220000120 is a wasteful number, since it uses less digits than its factorization.

100020220000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86517848 (or 86517844 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100020220000120 its reverse (21000022020001), we get a palindrome (121020242020121).

The spelling of 100020220000120 in words is "one hundred trillion, twenty billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.