1020020001210 has 384 divisors, whose sum is σ = 3194178624000. Its totient is φ = 220928311296.

The previous prime is 1020020001191. The next prime is 1020020001251. The reversal of 1020020001210 is 121000200201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020020001192 and 1020020001201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226015914 + ... + 226020426.

It is an arithmetic number, because the mean of its divisors is an integer number (8318173500).

Almost surely, 2^{1020020001210} is an apocalyptic number.

1020020001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020020001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597089312000).

1020020001210 is an abundant number, since it is smaller than the sum of its proper divisors (2174158622790).

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

1020020001210 is a wasteful number, since it uses less digits than its factorization.

1020020001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4787 counting only the distinct ones).

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

Adding to 1020020001210 its reverse (121000200201), we get a palindrome (1141020201411).

The spelling of 1020020001210 in words is "one trillion, twenty billion, twenty million, one thousand, two hundred ten".