1020010102200 has 288 divisors, whose sum is σ = 3592980480960. Its totient is φ = 259019596800.

The previous prime is 1020010102193. The next prime is 1020010102201. The reversal of 1020010102200 is 22010100201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020010102201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2967270 + ... + 3293130.

It is an arithmetic number, because the mean of its divisors is an integer number (12475626670).

Almost surely, 2^{1020010102200} is an apocalyptic number.

1020010102200 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 1020010102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796490240480).

1020010102200 is an abundant number, since it is smaller than the sum of its proper divisors (2572970378760).

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

1020010102200 is a wasteful number, since it uses less digits than its factorization.

1020010102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325967 (or 325955 counting only the distinct ones).

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

Adding to 1020010102200 its reverse (22010100201), we get a palindrome (1042020202401).

It can be divided in two parts, 10200 and 10102200, that added together give a square (10112400 = 3180²).

The spelling of 1020010102200 in words is "one trillion, twenty billion, ten million, one hundred two thousand, two hundred".