2121023003100 has 144 divisors (see below), whose sum is σ = 6159782498688. Its totient is φ = 563492514560.

The previous prime is 2121023003087. The next prime is 2121023003101. The reversal of 2121023003100 is 13003201212.

It is a super-2 number, since 2×2121023003100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121023003100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121023003101) 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, 192762199 + ... + 192773201.

It is an arithmetic number, because the mean of its divisors is an integer number (42776267352).

Almost surely, 2^{2121023003100} is an apocalyptic number.

2121023003100 is a gapful number since it is divisible by the number (20) 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 2121023003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079891249344).

2121023003100 is an abundant number, since it is smaller than the sum of its proper divisors (4038759495588).

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

2121023003100 is a wasteful number, since it uses less digits than its factorization.

2121023003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2121023003100 its reverse (13003201212), we get a palindrome (2134026204312).

The spelling of 2121023003100 in words is "two trillion, one hundred twenty-one billion, twenty-three million, three thousand, one hundred".