1014201022100 has 144 divisors (see below), whose sum is σ = 2526051655680. Its totient is φ = 346231843200.

The previous prime is 1014201022069. The next prime is 1014201022111. The reversal of 1014201022100 is 12201024101.

It is a happy number.

1014201022100 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 (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163287995 + ... + 163294205.

Almost surely, 2^{1014201022100} is an apocalyptic number.

1014201022100 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 1014201022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263025827840).

1014201022100 is an abundant number, since it is smaller than the sum of its proper divisors (1511850633580).

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

1014201022100 is a wasteful number, since it uses less digits than its factorization.

1014201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1014201022100 its reverse (12201024101), we get a palindrome (1026402046201).

The spelling of 1014201022100 in words is "one trillion, fourteen billion, two hundred one million, twenty-two thousand, one hundred".