10102120211010 has 256 divisors, whose sum is σ = 26038651060224. Its totient is φ = 2502840840192.

The previous prime is 10102120210991. The next prime is 10102120211093. The reversal of 10102120211010 is 1011202120101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 876381867 + ... + 876393393.

It is an arithmetic number, because the mean of its divisors is an integer number (101713480704).

Almost surely, 2^{10102120211010} is an apocalyptic number.

10102120211010 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 10102120211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019325530112).

10102120211010 is an abundant number, since it is smaller than the sum of its proper divisors (15936530849214).

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

10102120211010 is a wasteful number, since it uses less digits than its factorization.

10102120211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897.

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

Adding to 10102120211010 its reverse (1011202120101), we get a palindrome (11113322331111).

The spelling of 10102120211010 in words is "ten trillion, one hundred two billion, one hundred twenty million, two hundred eleven thousand, ten".