21015033051012 has 384 divisors, whose sum is σ = 67611916947456. Its totient is φ = 4903372800000.

The previous prime is 21015033050983. The next prime is 21015033051169.

21015033051012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21015033051012² (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 127 ways as a sum of consecutive naturals, for example, 197436087 + ... + 197542497.

It is an arithmetic number, because the mean of its divisors is an integer number (176072700384).

Almost surely, 2^{21015033051012} is an apocalyptic number.

21015033051012 is a gapful number since it is divisible by the number (22) 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 21015033051012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33805958473728).

21015033051012 is an abundant number, since it is smaller than the sum of its proper divisors (46596883896444).

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

21015033051012 is a wasteful number, since it uses less digits than its factorization.

21015033051012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106891 (or 106889 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 2101503 and 3051012, that added together give a palindrome (5152515).

The spelling of 21015033051012 in words is "twenty-one trillion, fifteen billion, thirty-three million, fifty-one thousand, twelve".