42111144276100 has 27 divisors (see below), whose sum is σ = 91381323897381. Its totient is φ = 16844431753200.

The previous prime is 42111144276037. The next prime is 42111144276107. The reversal of 42111144276100 is 167244111124.

The square root of 42111144276100 is 6489310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15160011939396 + 26951132336704 = 3893586^2 + 5191448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42111144276107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64568635 + ... + 65217565.

Almost surely, 2^{42111144276100} is an apocalyptic number.

42111144276100 is the 6489310-th square number.

It is an amenable number.

42111144276100 is an abundant number, since it is smaller than the sum of its proper divisors (49270179621281).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42111144276100 is an frugal number, since it uses more digits than its factorization.

42111144276100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297876 (or 648938 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

Adding to 42111144276100 its reverse (167244111124), we get a palindrome (42278388387224).

The spelling of 42111144276100 in words is "forty-two trillion, one hundred eleven billion, one hundred forty-four million, two hundred seventy-six thousand, one hundred".