1020422022100 has 144 divisors (see below), whose sum is σ = 2486151626112. Its totient is φ = 361064471040.

The previous prime is 1020422022089. The next prime is 1020422022167. The reversal of 1020422022100 is 12202240201.

It is a super-2 number, since 2×1020422022100² (a number of 25 digits) contains 22 as substring.

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, 2790489 + ... + 3134911.

It is an arithmetic number, because the mean of its divisors is an integer number (17264941848).

Almost surely, 2^{1020422022100} is an apocalyptic number.

1020422022100 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 1020422022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243075813056).

1020422022100 is an abundant number, since it is smaller than the sum of its proper divisors (1465729604012).

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

1020422022100 is a wasteful number, since it uses less digits than its factorization.

1020422022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344546 (or 344539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1020422022100 its reverse (12202240201), we get a palindrome (1032624262301).

The spelling of 1020422022100 in words is "one trillion, twenty billion, four hundred twenty-two million, twenty-two thousand, one hundred".