10031121301100 has 144 divisors (see below), whose sum is σ = 22577344290816. Its totient is φ = 3864448224000.

The previous prime is 10031121301093. The next prime is 10031121301141. The reversal of 10031121301100 is 110312113001.

It is a happy number.

It is a super-2 number, since 2×10031121301100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782269289 + ... + 782282111.

Almost surely, 2^{10031121301100} is an apocalyptic number.

10031121301100 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 10031121301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288672145408).

10031121301100 is an abundant number, since it is smaller than the sum of its proper divisors (12546222989716).

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

10031121301100 is a wasteful number, since it uses less digits than its factorization.

10031121301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10031121301100 its reverse (110312113001), we get a palindrome (10141433414101).

The spelling of 10031121301100 in words is "ten trillion, thirty-one billion, one hundred twenty-one million, three hundred one thousand, one hundred".