1012034102420 has 192 divisors, whose sum is σ = 2382412677120. Its totient is φ = 358010150400.

The previous prime is 1012034102411. The next prime is 1012034102467. The reversal of 1012034102420 is 242014302101.

It is a super-2 number, since 2×1012034102420² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1012034102392 and 1012034102401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1247883815 + ... + 1247884625.

It is an arithmetic number, because the mean of its divisors is an integer number (12408399360).

Almost surely, 2^{1012034102420} is an apocalyptic number.

1012034102420 is a gapful number since it is divisible by the number (10) 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 1012034102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191206338560).

1012034102420 is an abundant number, since it is smaller than the sum of its proper divisors (1370378574700).

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

1012034102420 is a wasteful number, since it uses less digits than its factorization.

1012034102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1012034102420 its reverse (242014302101), we get a palindrome (1254048404521).

The spelling of 1012034102420 in words is "one trillion, twelve billion, thirty-four million, one hundred two thousand, four hundred twenty".