101242202242101 has 64 divisors (see below), whose sum is σ = 141483364167936. Its totient is φ = 64336757760000.

The previous prime is 101242202242091. The next prime is 101242202242123.

101242202242101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101242202242101 - 2¹⁵ = 101242202209333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101242202242141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10225447251 + ... + 10225457151.

It is an arithmetic number, because the mean of its divisors is an integer number (2210677565124).

Almost surely, 2^{101242202242101} is an apocalyptic number.

It is an amenable number.

101242202242101 is a deficient number, since it is larger than the sum of its proper divisors (40241161925835).

101242202242101 is a wasteful number, since it uses less digits than its factorization.

101242202242101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19542.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 10124220 and 2242101, that added together give a palindrome (12366321).

The spelling of 101242202242101 in words is "one hundred one trillion, two hundred forty-two billion, two hundred two million, two hundred forty-two thousand, one hundred one".