10102102102000 has 80 divisors (see below), whose sum is σ = 24447363831072. Its totient is φ = 4037452761600.

The previous prime is 10102102101979. The next prime is 10102102102007. The reversal of 10102102102000 is 20120120101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10102102102000³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102102102007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269047 + ... + 4502953.

Almost surely, 2^{10102102102000} is an apocalyptic number.

10102102102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223681915536).

10102102102000 is an abundant number, since it is smaller than the sum of its proper divisors (14345261729072).

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

10102102102000 is a wasteful number, since it uses less digits than its factorization.

10102102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235123 (or 4235107 counting only the distinct ones).

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

Adding to 10102102102000 its reverse (20120120101), we get a palindrome (10122222222101).

The spelling of 10102102102000 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred two thousand".