10102001102190 has 80 divisors (see below), whose sum is σ = 27164233625760. Its totient is φ = 2693760338880.

The previous prime is 10102001102177. The next prime is 10102001102191. The reversal of 10102001102190 is 9120110020101.

It is a happy number.

It is a super-2 number, since 2×10102001102190² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001102191) 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 39 ways as a sum of consecutive naturals, for example, 21402456 + ... + 21869364.

It is an arithmetic number, because the mean of its divisors is an integer number (339552920322).

Almost surely, 2^{10102001102190} is an apocalyptic number.

10102001102190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102001102190 is an abundant number, since it is smaller than the sum of its proper divisors (17062232523570).

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

10102001102190 is a wasteful number, since it uses less digits than its factorization.

10102001102190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493639 (or 493630 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10102001102190 its reverse (9120110020101), we get a palindrome (19222111122291).

The spelling of 10102001102190 in words is "ten trillion, one hundred two billion, one million, one hundred two thousand, one hundred ninety".