42144212210100 has 1152 divisors, whose sum is σ = 170132790804480. Its totient is φ = 7769502720000.

The previous prime is 42144212210083. The next prime is 42144212210101. The reversal of 42144212210100 is 101221244124.

It is a happy number.

It is a super-2 number, since 2×42144212210100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144212210101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1942029250 + ... + 1942050950.

It is an arithmetic number, because the mean of its divisors is an integer number (147684714240).

Almost surely, 2^{42144212210100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144212210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85066395402240).

42144212210100 is an abundant number, since it is smaller than the sum of its proper divisors (127988578594380).

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

42144212210100 is a wasteful number, since it uses less digits than its factorization.

42144212210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22001 (or 21994 counting only the distinct ones).

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

Adding to 42144212210100 its reverse (101221244124), we get a palindrome (42245433454224).

The spelling of 42144212210100 in words is "forty-two trillion, one hundred forty-four billion, two hundred twelve million, two hundred ten thousand, one hundred".