220200210100101 has 128 divisors (see below), whose sum is σ = 378502235983872. Its totient is φ = 110554859520000.

The previous prime is 220200210100093. The next prime is 220200210100133. The reversal of 220200210100101 is 101001012002022.

220200210100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220200210100101 - 2³ = 220200210100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200211100101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1642225381 + ... + 1642359461.

It is an arithmetic number, because the mean of its divisors is an integer number (2957048718624).

Almost surely, 2^{220200210100101} is an apocalyptic number.

220200210100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220200210100101 is a deficient number, since it is larger than the sum of its proper divisors (158302025883771).

220200210100101 is a wasteful number, since it uses less digits than its factorization.

220200210100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135883.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220200210100101 its reverse (101001012002022), we get a palindrome (321201222102123).

The spelling of 220200210100101 in words is "two hundred twenty trillion, two hundred billion, two hundred ten million, one hundred thousand, one hundred one".