10210201010100 has 864 divisors, whose sum is σ = 41121784704000. Its totient is φ = 2060821647360.

The previous prime is 10210201010029. The next prime is 10210201010143. The reversal of 10210201010100 is 101010201201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 258866181 + ... + 258905619.

Almost surely, 2^{10210201010100} is an apocalyptic number.

10210201010100 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 10210201010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560892352000).

10210201010100 is an abundant number, since it is smaller than the sum of its proper divisors (30911583693900).

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

10210201010100 is a wasteful number, since it uses less digits than its factorization.

10210201010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39617 (or 39607 counting only the distinct ones).

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

Adding to 10210201010100 its reverse (101010201201), we get a palindrome (10311211211301).

It can be divided in two parts, 1021020 and 1010100, that added together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 10210201010100 in words is "ten trillion, two hundred ten billion, two hundred one million, ten thousand, one hundred".