102101010221010 has 128 divisors (see below), whose sum is σ = 252011381787648. Its totient is φ = 26454650112000.

The previous prime is 102101010220919. The next prime is 102101010221011. The reversal of 102101010221010 is 10122010101201.

It is not an unprimeable number, because it can be changed into a prime (102101010221011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3792602350 + ... + 3792629270.

It is an arithmetic number, because the mean of its divisors is an integer number (1968838920216).

Almost surely, 2^{102101010221010} is an apocalyptic number.

102101010221010 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 102101010221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126005690893824).

102101010221010 is an abundant number, since it is smaller than the sum of its proper divisors (149910371566638).

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

102101010221010 is a wasteful number, since it uses less digits than its factorization.

102101010221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31540.

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

Adding to 102101010221010 its reverse (10122010101201), we get a palindrome (112223020322211).

The spelling of 102101010221010 in words is "one hundred two trillion, one hundred one billion, ten million, two hundred twenty-one thousand, ten".