10121120102100 has 144 divisors (see below), whose sum is σ = 33610808020608. Its totient is φ = 2303470018560.

The previous prime is 10121120102089. The next prime is 10121120102101. The reversal of 10121120102100 is 120102112101.

It is a super-3 number, since 3×10121120102100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120102101) 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 47 ways as a sum of consecutive naturals, for example, 9853149 + ... + 10831748.

It is an arithmetic number, because the mean of its divisors is an integer number (233408389032).

Almost surely, 2^{10121120102100} is an apocalyptic number.

10121120102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121120102100 is an abundant number, since it is smaller than the sum of its proper divisors (23489687918508).

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

10121120102100 is a wasteful number, since it uses less digits than its factorization.

10121120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20685154 (or 20685147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121120102100 its reverse (120102112101), we get a palindrome (10241222214201).

The spelling of 10121120102100 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred two thousand, one hundred".