2121012313038 has 320 divisors, whose sum is σ = 5385688704000. Its totient is φ = 620930209536.

The previous prime is 2121012313003. The next prime is 2121012313039. The reversal of 2121012313038 is 8303132101212.

2121012313038 is a `hidden beast` number, since 2 + 121 + 0 + 1 + 231 + 303 + 8 = 666.

It is a super-3 number, since 3×2121012313038³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012313039) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 222346873 + ... + 222356411.

It is an arithmetic number, because the mean of its divisors is an integer number (16830277200).

Almost surely, 2^{2121012313038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121012313038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692844352000).

2121012313038 is an abundant number, since it is smaller than the sum of its proper divisors (3264676390962).

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

2121012313038 is a wasteful number, since it uses less digits than its factorization.

2121012313038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9692 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2121012313038 in words is "two trillion, one hundred twenty-one billion, twelve million, three hundred thirteen thousand, thirty-eight".