10100220111121 has 8 divisors (see below), whose sum is σ = 11593959399360. Its totient is φ = 8619193498128.

The previous prime is 10100220111109. The next prime is 10100220111133. The reversal of 10100220111121 is 12111102200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100220111109) and next prime (10100220111133).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100220111121 - 2⁵ = 10100220111089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100220117121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3178167106 + ... + 3178170283.

It is an arithmetic number, because the mean of its divisors is an integer number (1449244924920).

Almost surely, 2^{10100220111121} is an apocalyptic number.

It is an amenable number.

10100220111121 is a deficient number, since it is larger than the sum of its proper divisors (1493739288239).

10100220111121 is an equidigital number, since it uses as much as digits as its factorization.

10100220111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356337623.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100220111121 its reverse (12111102200101), we get a palindrome (22211322311222).

The spelling of 10100220111121 in words is "ten trillion, one hundred billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty-one".