1020132142100 has 72 divisors (see below), whose sum is σ = 2265531871680. Its totient is φ = 398606644480.

The previous prime is 1020132142033. The next prime is 1020132142103. The reversal of 1020132142100 is 12412310201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020132142103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48209 + ... + 1429191.

It is an arithmetic number, because the mean of its divisors is an integer number (31465720440).

Almost surely, 2^{1020132142100} is an apocalyptic number.

1020132142100 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 1020132142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132765935840).

1020132142100 is an abundant number, since it is smaller than the sum of its proper divisors (1245399729580).

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

1020132142100 is a wasteful number, since it uses less digits than its factorization.

1020132142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381169 (or 1381162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020132142100 its reverse (12412310201), we get a palindrome (1032544452301).

The spelling of 1020132142100 in words is "one trillion, twenty billion, one hundred thirty-two million, one hundred forty-two thousand, one hundred".