401131101242100 has 288 divisors, whose sum is σ = 1218704167941120. Its totient is φ = 101866549994880.

The previous prime is 401131101242029. The next prime is 401131101242197. The reversal of 401131101242100 is 1242101131104.

It is a super-3 number, since 3×401131101242100³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828330639 + ... + 828814761.

It is an arithmetic number, because the mean of its divisors is an integer number (4231611694240).

Almost surely, 2^{401131101242100} 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 401131101242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609352083970560).

401131101242100 is an abundant number, since it is smaller than the sum of its proper divisors (817573066699020).

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

401131101242100 is a wasteful number, since it uses less digits than its factorization.

401131101242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484436 (or 484383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 401131101242100 its reverse (1242101131104), we get a palindrome (402373202373204).

The spelling of 401131101242100 in words is "four hundred one trillion, one hundred thirty-one billion, one hundred one million, two hundred forty-two thousand, one hundred".