101201110102220 has 72 divisors (see below), whose sum is σ = 217393223468400. Its totient is φ = 39572015227264.

The previous prime is 101201110102219. The next prime is 101201110102223. The reversal of 101201110102220 is 22201011102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201110102195 and 101201110102204.

It is not an unprimeable number, because it can be changed into a prime (101201110102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8401586 + ... + 16522374.

It is an arithmetic number, because the mean of its divisors is an integer number (3019350325950).

Almost surely, 2^{101201110102220} is an apocalyptic number.

101201110102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201110102220 is an abundant number, since it is smaller than the sum of its proper divisors (116192113366180).

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

101201110102220 is a wasteful number, since it uses less digits than its factorization.

101201110102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121095 (or 8121034 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201110102220 its reverse (22201011102101), we get a palindrome (123402121204321).

The spelling of 101201110102220 in words is "one hundred one trillion, two hundred one billion, one hundred ten million, one hundred two thousand, two hundred twenty".