102100001010 has 192 divisors, whose sum is σ = 297927745920. Its totient is φ = 22299217920.

The previous prime is 102100000979. The next prime is 102100001027. The reversal of 102100001010 is 10100001201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 102100001010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4122765 + ... + 4147455.

It is an arithmetic number, because the mean of its divisors is an integer number (1551707010).

Almost surely, 2^102100001010 is an apocalyptic number.

102100001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148963872960).

102100001010 is an abundant number, since it is smaller than the sum of its proper divisors (195827744910).

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

102100001010 is a wasteful number, since it uses less digits than its factorization.

102100001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24841 (or 24834 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 102100001010 its reverse (10100001201), we get a palindrome (112200002211).

The spelling of 102100001010 in words is "one hundred two billion, one hundred million, one thousand, ten".