10102111000 has 64 divisors (see below), whose sum is σ = 23674304160. Its totient is φ = 4034800000.

The previous prime is 10102110943. The next prime is 10102111003. The reversal of 10102111000 is 11120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102111003) 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, 693795 + ... + 708205.

Almost surely, 2^10102111000 is an apocalyptic number.

10102111000 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 10102111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11837152080).

10102111000 is an abundant number, since it is smaller than the sum of its proper divisors (13572193160).

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

10102111000 is a wasteful number, since it uses less digits than its factorization.

10102111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15133 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10102111000 its reverse (11120101), we get a palindrome (10113231101).

The spelling of 10102111000 in words is "ten billion, one hundred two million, one hundred eleven thousand".