102102100100010 has 48 divisors (see below), whose sum is σ = 266855331824640. Its totient is φ = 27084675763680.

The previous prime is 102102100100009. The next prime is 102102100100089. The reversal of 102102100100010 is 10001001201201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102102100099965 and 102102100100001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2969793750 + ... + 2969828129.

It is an arithmetic number, because the mean of its divisors is an integer number (5559486079680).

Almost surely, 2^{102102100100010} is an apocalyptic number.

102102100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102102100100010 is an abundant number, since it is smaller than the sum of its proper divisors (164753231724630).

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

102102100100010 is a wasteful number, since it uses less digits than its factorization.

102102100100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939622083 (or 5939622080 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102102100100010 its reverse (10001001201201), we get a palindrome (112103101301211).

The spelling of 102102100100010 in words is "one hundred two trillion, one hundred two billion, one hundred million, one hundred thousand, ten".