10201020102 has 192 divisors, whose sum is σ = 29584324224. Its totient is φ = 2463436800.

The previous prime is 10201020097. The next prime is 10201020103. The reversal of 10201020102 is 20102010201.

10201020102 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201020102² (a number of 21 digits) contains 22 as substring.

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

10201020102 is a modest number, since divided by 1020102 gives 102 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201020103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025352 + ... + 1035252.

It is an arithmetic number, because the mean of its divisors is an integer number (154085022).

Almost surely, 2^10201020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792162112).

10201020102 is an abundant number, since it is smaller than the sum of its proper divisors (19383304122).

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

10201020102 is a wasteful number, since it uses less digits than its factorization.

10201020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201020102 its reverse (20102010201), we get a palindrome (30303030303).

Subtracting 10201020102 from its reverse (20102010201), we obtain a palindrome (9900990099).

The spelling of 10201020102 in words is "ten billion, two hundred one million, twenty thousand, one hundred two".