10100201020210 has 128 divisors (see below), whose sum is σ = 21336422575104. Its totient is φ = 3370888535040.

The previous prime is 10100201020177. The next prime is 10100201020211. The reversal of 10100201020210 is 1202010200101.

It is a super-2 number, since 2×10100201020210² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10100201020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335172304 + ... + 335202436.

It is an arithmetic number, because the mean of its divisors is an integer number (166690801368).

Almost surely, 2^{10100201020210} is an apocalyptic number.

10100201020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100201020210 is an abundant number, since it is smaller than the sum of its proper divisors (11236221554894).

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

10100201020210 is a wasteful number, since it uses less digits than its factorization.

10100201020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30908.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100201020210 its reverse (1202010200101), we get a palindrome (11302211220311).

The spelling of 10100201020210 in words is "ten trillion, one hundred billion, two hundred one million, twenty thousand, two hundred ten".