101222220200101 has 48 divisors (see below), whose sum is σ = 138292160840064. Its totient is φ = 72086327280000.

The previous prime is 101222220200089. The next prime is 101222220200201. The reversal of 101222220200101 is 101002022222101.

It is a happy number.

It is not a de Polignac number, because 101222220200101 - 2²¹ = 101222218102949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222220200201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44396935 + ... + 46621156.

It is an arithmetic number, because the mean of its divisors is an integer number (2881086684168).

Almost surely, 2^{101222220200101} is an apocalyptic number.

101222220200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222220200101 is a deficient number, since it is larger than the sum of its proper divisors (37069940639963).

101222220200101 is a wasteful number, since it uses less digits than its factorization.

101222220200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91018234 (or 91018223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222220200101 its reverse (101002022222101), we get a palindrome (202224242422202).

The spelling of 101222220200101 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty million, two hundred thousand, one hundred one".