10001121431202 has 192 divisors, whose sum is σ = 24733154324736. Its totient is φ = 2891089428480.

The previous prime is 10001121431141. The next prime is 10001121431243. The reversal of 10001121431202 is 20213412110001.

10001121431202 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 11 + 21 + 431 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3856968018 + ... + 3856970610.

It is an arithmetic number, because the mean of its divisors is an integer number (128818512108).

Almost surely, 2^{10001121431202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001121431202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366577162368).

10001121431202 is an abundant number, since it is smaller than the sum of its proper divisors (14732032893534).

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

10001121431202 is a wasteful number, since it uses less digits than its factorization.

10001121431202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10001121431202 its reverse (20213412110001), we get a palindrome (30214533541203).

The spelling of 10001121431202 in words is "ten trillion, one billion, one hundred twenty-one million, four hundred thirty-one thousand, two hundred two".