1021414354136 has 64 divisors (see below), whose sum is σ = 2117064811680. Its totient is φ = 458128097280.

The previous prime is 1021414354133. The next prime is 1021414354139. The reversal of 1021414354136 is 6314534141201.

It is an interprime number because it is at equal distance from previous prime (1021414354133) and next prime (1021414354139).

It is a junction number, because it is equal to n+sod(n) for n = 1021414354096 and 1021414354105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021414354133) 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 15 ways as a sum of consecutive naturals, for example, 2699096 + ... + 3054168.

Almost surely, 2^{1021414354136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021414354136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058532405840).

1021414354136 is an abundant number, since it is smaller than the sum of its proper divisors (1095650457544).

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

1021414354136 is a wasteful number, since it uses less digits than its factorization.

1021414354136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355524 (or 355520 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 1021414354136 its reverse (6314534141201), we get a palindrome (7335948495337).

The spelling of 1021414354136 in words is "one trillion, twenty-one billion, four hundred fourteen million, three hundred fifty-four thousand, one hundred thirty-six".