1020020100210 has 64 divisors (see below), whose sum is σ = 2721218198400. Its totient is φ = 271888900416.

The previous prime is 1020020100193. The next prime is 1020020100217. The reversal of 1020020100210 is 120010200201.

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 = 1020020100192 and 1020020100201.

It is not an unprimeable number, because it can be changed into a prime (1020020100217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176049 + ... + 1439108.

It is an arithmetic number, because the mean of its divisors is an integer number (42519034350).

Almost surely, 2^{1020020100210} is an apocalyptic number.

1020020100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020020100210 is an abundant number, since it is smaller than the sum of its proper divisors (1701198098190).

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

1020020100210 is a wasteful number, since it uses less digits than its factorization.

1020020100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617512 (or 1617506 counting only the distinct ones).

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

Adding to 1020020100210 its reverse (120010200201), we get a palindrome (1140030300411).

Subtracting from 1020020100210 its reverse (120010200201), we obtain a palindrome (900009900009).

The spelling of 1020020100210 in words is "one trillion, twenty billion, twenty million, one hundred thousand, two hundred ten".