100101101102220 has 48 divisors (see below), whose sum is σ = 295034824304640. Its totient is φ = 25288699225536.

The previous prime is 100101101102209. The next prime is 100101101102237. The reversal of 100101101102220 is 22201101101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100101101102196 and 100101101102205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43903990572 + ... + 43903992851.

It is an arithmetic number, because the mean of its divisors is an integer number (6146558839680).

Almost surely, 2^{100101101102220} is an apocalyptic number.

100101101102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101101102220 is an abundant number, since it is smaller than the sum of its proper divisors (194933723202420).

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

100101101102220 is a wasteful number, since it uses less digits than its factorization.

100101101102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87807983454 (or 87807983452 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101101102220 its reverse (22201101101001), we get a palindrome (122302202203221).

The spelling of 100101101102220 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred two thousand, two hundred twenty".