10041213422100 has 288 divisors, whose sum is σ = 34435997344000. Its totient is φ = 2257507929600.

The previous prime is 10041213422089. The next prime is 10041213422171. The reversal of 10041213422100 is 122431214001.

It is a super-2 number, since 2×10041213422100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 5477046 + ... + 7076754.

Almost surely, 2^{10041213422100} is an apocalyptic number.

10041213422100 is a gapful number since it is divisible by the number (10) 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 10041213422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217998672000).

10041213422100 is an abundant number, since it is smaller than the sum of its proper divisors (24394783921900).

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

10041213422100 is a wasteful number, since it uses less digits than its factorization.

10041213422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599808 (or 1599787 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10041213422100 its reverse (122431214001), we get a palindrome (10163644636101).

The spelling of 10041213422100 in words is "ten trillion, forty-one billion, two hundred thirteen million, four hundred twenty-two thousand, one hundred".