1020232054100 has 432 divisors, whose sum is σ = 2763991843200. Its totient is φ = 319291269120.

The previous prime is 1020232054007. The next prime is 1020232054133. The reversal of 1020232054100 is 14502320201.

1020232054100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2494454696 + ... + 2494455104.

Almost surely, 2^{1020232054100} is an apocalyptic number.

1020232054100 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 1020232054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381995921600).

1020232054100 is an abundant number, since it is smaller than the sum of its proper divisors (1743759789100).

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

1020232054100 is a wasteful number, since it uses less digits than its factorization.

1020232054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1020232054100 its reverse (14502320201), we get a palindrome (1034734374301).

The spelling of 1020232054100 in words is "one trillion, twenty billion, two hundred thirty-two million, fifty-four thousand, one hundred".