100010200101220 has 48 divisors (see below), whose sum is σ = 211285070599680. Its totient is φ = 39763398420864.

The previous prime is 100010200101197. The next prime is 100010200101221. The reversal of 100010200101220 is 22101002010001.

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 = 100010200101197 and 100010200101206.

It is not an unprimeable number, because it can be changed into a prime (100010200101221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121697542 + ... + 122516578.

It is an arithmetic number, because the mean of its divisors is an integer number (4401772304160).

Almost surely, 2^{100010200101220} is an apocalyptic number.

100010200101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010200101220 is an abundant number, since it is smaller than the sum of its proper divisors (111274870498460).

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

100010200101220 is a wasteful number, since it uses less digits than its factorization.

100010200101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855772 (or 855770 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010200101220 its reverse (22101002010001), we get a palindrome (122111202111221).

The spelling of 100010200101220 in words is "one hundred trillion, ten billion, two hundred million, one hundred one thousand, two hundred twenty".