42101201230000 has 400 divisors, whose sum is σ = 116094579042816. Its totient is φ = 14636047360000.

The previous prime is 42101201229929. The next prime is 42101201230007. The reversal of 42101201230000 is 3210210124.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×42101201230000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42101201230007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6722206869 + ... + 6722213131.

Almost surely, 2^{42101201230000} is an apocalyptic number.

42101201230000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42101201230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58047289521408).

42101201230000 is an abundant number, since it is smaller than the sum of its proper divisors (73993377812816).

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

42101201230000 is a wasteful number, since it uses less digits than its factorization.

42101201230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42101201230000 its reverse (3210210124), we get a palindrome (42104411440124).

The spelling of 42101201230000 in words is "forty-two trillion, one hundred one billion, two hundred one million, two hundred thirty thousand".