1020000221100 has 432 divisors, whose sum is σ = 3875268633600. Its totient is φ = 219348518400.

The previous prime is 1020000221063. The next prime is 1020000221101. The reversal of 1020000221100 is 11220000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020000221101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8781201 + ... + 8896599.

Almost surely, 2^{1020000221100} is an apocalyptic number.

1020000221100 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 1020000221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937634316800).

1020000221100 is an abundant number, since it is smaller than the sum of its proper divisors (2855268412500).

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

1020000221100 is a wasteful number, since it uses less digits than its factorization.

1020000221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115510 (or 115500 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020000221100 its reverse (11220000201), we get a palindrome (1031220221301).

It can be divided in two parts, 1020000 and 221100, that added together give a triangular number (1241100 = T₁₅₇₅).

The spelling of 1020000221100 in words is "one trillion, twenty billion, two hundred twenty-one thousand, one hundred".