101020202111010 has 256 divisors, whose sum is σ = 306553945227264. Its totient is φ = 20731936822272.

The previous prime is 101020202110921. The next prime is 101020202111029. The reversal of 101020202111010 is 10111202020101.

It is a Curzon number.

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, 343994299 + ... + 344287841.

It is an arithmetic number, because the mean of its divisors is an integer number (1197476348544).

Almost surely, 2^{101020202111010} is an apocalyptic number.

101020202111010 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 101020202111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153276972613632).

101020202111010 is an abundant number, since it is smaller than the sum of its proper divisors (205533743116254).

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

101020202111010 is a wasteful number, since it uses less digits than its factorization.

101020202111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297017.

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

Adding to 101020202111010 its reverse (10111202020101), we get a palindrome (111131404131111).

Subtracting from 101020202111010 its reverse (10111202020101), we obtain a palindrome (90909000090909).

The spelling of 101020202111010 in words is "one hundred one trillion, twenty billion, two hundred two million, one hundred eleven thousand, ten".