10102001010210 has 192 divisors, whose sum is σ = 27035484708960. Its totient is φ = 2615197777920.

The previous prime is 10102001010133. The next prime is 10102001010251. The reversal of 10102001010210 is 1201010020101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 23592038409 + 10078408971801 = 153597^2 + 3174651^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102001010192 and 10102001010201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4854396370 + ... + 4854398450.

Almost surely, 2^{10102001010210} is an apocalyptic number.

10102001010210 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 10102001010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517742354480).

10102001010210 is an abundant number, since it is smaller than the sum of its proper divisors (16933483698750).

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

10102001010210 is a wasteful number, since it uses less digits than its factorization.

10102001010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4690 counting only the distinct ones).

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

Adding to 10102001010210 its reverse (1201010020101), we get a palindrome (11303011030311).

The spelling of 10102001010210 in words is "ten trillion, one hundred two billion, one million, ten thousand, two hundred ten".