10142200224101 has 8 divisors (see below), whose sum is σ = 11173765144608. Its totient is φ = 9128893090000.

The previous prime is 10142200224097. The next prime is 10142200224131.

10142200224101 is nontrivially palindromic in base 10.

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 10142200224101 - 2² = 10142200224097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142200224131) 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, 4564445435 + ... + 4564447656.

It is an arithmetic number, because the mean of its divisors is an integer number (1396720643076).

Almost surely, 2^{10142200224101} is an apocalyptic number.

10142200224101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142200224101 is a deficient number, since it is larger than the sum of its proper divisors (1031564920507).

10142200224101 is a wasteful number, since it uses less digits than its factorization.

10142200224101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128893203.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 10142200 and 224101, that added together give a palindrome (10366301).

The spelling of 10142200224101 in words is "ten trillion, one hundred forty-two billion, two hundred million, two hundred twenty-four thousand, one hundred one".