10201022102010 has 16 divisors (see below), whose sum is σ = 24482453044896. Its totient is φ = 2720272560528.

The previous prime is 10201022101997. The next prime is 10201022102053. The reversal of 10201022102010 is 1020122010201.

It is a Curzon number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 170017035004 + ... + 170017035063.

It is an arithmetic number, because the mean of its divisors is an integer number (1530153315306).

Almost surely, 2^{10201022102010} is an apocalyptic number.

10201022102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201022102010 is an abundant number, since it is smaller than the sum of its proper divisors (14281430942886).

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

10201022102010 is a wasteful number, since it uses less digits than its factorization.

10201022102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340034070077.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201022102010 its reverse (1020122010201), we get a palindrome (11221144112211).

The spelling of 10201022102010 in words is "ten trillion, two hundred one billion, twenty-two million, one hundred two thousand, ten".