100220200110121 has 12 divisors (see below), whose sum is σ = 125550580358532. Its totient is φ = 79295103383328.

The previous prime is 100220200110103. The next prime is 100220200110131. The reversal of 100220200110121 is 121011002022001.

It can be written as a sum of positive squares in 2 ways, for example, as 39064500025600 + 61155700084521 = 6250160^2 + 7820211^2 .

It is not a de Polignac number, because 100220200110121 - 2⁷ = 100220200109993 is a prime.

It is a super-2 number, since 2×100220200110121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100220200110131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78665776530 + ... + 78665777803.

It is an arithmetic number, because the mean of its divisors is an integer number (10462548363211).

Almost surely, 2^{100220200110121} is an apocalyptic number.

It is an amenable number.

100220200110121 is a deficient number, since it is larger than the sum of its proper divisors (25330380248411).

100220200110121 is a wasteful number, since it uses less digits than its factorization.

100220200110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157331554360 (or 157331554353 counting only the distinct ones).

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

Adding to 100220200110121 its reverse (121011002022001), we get a palindrome (221231202132122).

The spelling of 100220200110121 in words is "one hundred trillion, two hundred twenty billion, two hundred million, one hundred ten thousand, one hundred twenty-one".