1012010100210 has 144 divisors (see below), whose sum is σ = 2712398290056. Its totient is φ = 261785696256.

The previous prime is 1012010100137. The next prime is 1012010100263. The reversal of 1012010100210 is 120010102101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 288552683241 + 723457416969 = 537171^2 + 850563^2 .

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 = 1012010100192 and 1012010100201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41509584 + ... + 41533956.

Almost surely, 2^{1012010100210} is an apocalyptic number.

1012010100210 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 1012010100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356199145028).

1012010100210 is an abundant number, since it is smaller than the sum of its proper divisors (1700388189846).

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

1012010100210 is a wasteful number, since it uses less digits than its factorization.

1012010100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24797 (or 24757 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012010100210 its reverse (120010102101), we get a palindrome (1132020202311).

The spelling of 1012010100210 in words is "one trillion, twelve billion, ten million, one hundred thousand, two hundred ten".