10210011101010 has 144 divisors (see below), whose sum is σ = 30884265711000. Its totient is φ = 2333400072192.

The previous prime is 10210011100997. The next prime is 10210011101039. The reversal of 10210011101010 is 1010111001201.

It can be written as a sum of positive squares in 4 ways, for example, as 6464474056089 + 3745537044921 = 2542533^2 + 1935339^2 .

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 = 10210011100983 and 10210011101001.

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, 33137746 + ... + 33444434.

Almost surely, 2^{10210011101010} is an apocalyptic number.

10210011101010 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 10210011101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442132855500).

10210011101010 is an abundant number, since it is smaller than the sum of its proper divisors (20674254609990).

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

10210011101010 is a wasteful number, since it uses less digits than its factorization.

10210011101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314265 (or 314255 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10210011101010 its reverse (1010111001201), we get a palindrome (11220122102211).

The spelling of 10210011101010 in words is "ten trillion, two hundred ten billion, eleven million, one hundred one thousand, ten".