10401202124010 has 96 divisors (see below), whose sum is σ = 27115051961088. Its totient is φ = 2766286373760.

The previous prime is 10401202123967. The next prime is 10401202124011. The reversal of 10401202124010 is 1042120210401.

10401202124010 is a `hidden beast` number, since 1 + 0 + 40 + 12 + 0 + 212 + 401 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10401202124011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52620924 + ... + 52818216.

It is an arithmetic number, because the mean of its divisors is an integer number (282448457928).

Almost surely, 2^{10401202124010} is an apocalyptic number.

10401202124010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10401202124010 is an abundant number, since it is smaller than the sum of its proper divisors (16713849837078).

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

10401202124010 is a wasteful number, since it uses less digits than its factorization.

10401202124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198860 (or 198857 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10401202124010 its reverse (1042120210401), we get a palindrome (11443322334411).

The spelling of 10401202124010 in words is "ten trillion, four hundred one billion, two hundred two million, one hundred twenty-four thousand, ten".