10121312301100 has 972 divisors, whose sum is σ = 30800934598392. Its totient is φ = 2874577305600.

The previous prime is 10121312301053. The next prime is 10121312301103. The reversal of 10121312301100 is 110321312101.

It is a happy number.

It is a super-2 number, since 2×10121312301100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121312301103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 8316607692 + ... + 8316608908.

Almost surely, 2^{10121312301100} is an apocalyptic number.

10121312301100 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 10121312301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400467299196).

10121312301100 is an abundant number, since it is smaller than the sum of its proper divisors (20679622297292).

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

10121312301100 is a wasteful number, since it uses less digits than its factorization.

10121312301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10121312301100 its reverse (110321312101), we get a palindrome (10231633613201).

The spelling of 10121312301100 in words is "ten trillion, one hundred twenty-one billion, three hundred twelve million, three hundred one thousand, one hundred".