101220100201120 has 24 divisors (see below), whose sum is σ = 239132486725524. Its totient is φ = 40488040080384.

The previous prime is 101220100201109. The next prime is 101220100201139. The reversal of 101220100201120 is 21102001022101.

It can be written as a sum of positive squares in 2 ways, for example, as 96906619821456 + 4313480379664 = 9844116^2 + 2076892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101220100201120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316312812969 + ... + 316312813288.

Almost surely, 2^{101220100201120} is an apocalyptic number.

101220100201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220100201120 is an abundant number, since it is smaller than the sum of its proper divisors (137912386524404).

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

101220100201120 is an equidigital number, since it uses as much as digits as its factorization.

101220100201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632625626272 (or 632625626264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101220100201120 its reverse (21102001022101), we get a palindrome (122322101223221).

The spelling of 101220100201120 in words is "one hundred one trillion, two hundred twenty billion, one hundred million, two hundred one thousand, one hundred twenty".