102210010121010 has 384 divisors, whose sum is σ = 289413423283968. Its totient is φ = 22900119552000.

The previous prime is 102210010121003. The next prime is 102210010121047. The reversal of 102210010121010 is 10121010012201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3566156080 + ... + 3566184740.

It is an arithmetic number, because the mean of its divisors is an integer number (753680789802).

Almost surely, 2^{102210010121010} is an apocalyptic number.

102210010121010 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 102210010121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144706711641984).

102210010121010 is an abundant number, since it is smaller than the sum of its proper divisors (187203413162958).

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

102210010121010 is a wasteful number, since it uses less digits than its factorization.

102210010121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29390 (or 29373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102210010121010 its reverse (10121010012201), we get a palindrome (112331020133211).

The spelling of 102210010121010 in words is "one hundred two trillion, two hundred ten billion, ten million, one hundred twenty-one thousand, ten".