40101210201210 has 128 divisors (see below), whose sum is σ = 103228748663040. Its totient is φ = 9938822400000.

The previous prime is 40101210201209. The next prime is 40101210201251. The reversal of 40101210201210 is 1210201210104.

40101210201210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40101210201210³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40101210201210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392709160 + ... + 392811260.

It is an arithmetic number, because the mean of its divisors is an integer number (806474598930).

Almost surely, 2^{40101210201210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101210201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51614374331520).

40101210201210 is an abundant number, since it is smaller than the sum of its proper divisors (63127538461830).

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

40101210201210 is a wasteful number, since it uses less digits than its factorization.

40101210201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115184.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 40101210201210 its reverse (1210201210104), we get a palindrome (41311411411314).

The spelling of 40101210201210 in words is "forty trillion, one hundred one billion, two hundred ten million, two hundred one thousand, two hundred ten".