10210110201000 has 192 divisors, whose sum is σ = 34524666605520. Its totient is φ = 2721552537600.

The previous prime is 10210110200999. The next prime is 10210110201043. The reversal of 10210110201000 is 10201101201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 456119233956 + 9753990967044 = 675366^2 + 3123138^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21299964 + ... + 21774036.

Almost surely, 2^{10210110201000} is an apocalyptic number.

10210110201000 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 10210110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262333302760).

10210110201000 is an abundant number, since it is smaller than the sum of its proper divisors (24314556404520).

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

10210110201000 is a wasteful number, since it uses less digits than its factorization.

10210110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476493 (or 476476 counting only the distinct ones).

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

Adding to 10210110201000 its reverse (10201101201), we get a palindrome (10220311302201).

The spelling of 10210110201000 in words is "ten trillion, two hundred ten billion, one hundred ten million, two hundred one thousand".