10201011101010 has 192 divisors, whose sum is σ = 29272262827392. Its totient is φ = 2453876840448.

The previous prime is 10201011101003. The next prime is 10201011101053. The reversal of 10201011101010 is 1010111010201.

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 = 10201011100983 and 10201011101001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2448109 + ... + 5137631.

It is an arithmetic number, because the mean of its divisors is an integer number (152459702226).

Almost surely, 2^{10201011101010} is an apocalyptic number.

10201011101010 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 10201011101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636131413696).

10201011101010 is an abundant number, since it is smaller than the sum of its proper divisors (19071251726382).

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

10201011101010 is a wasteful number, since it uses less digits than its factorization.

10201011101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689657 (or 2689654 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10201011101010 its reverse (1010111010201), we get a palindrome (11211122111211).

The spelling of 10201011101010 in words is "ten trillion, two hundred one billion, eleven million, one hundred one thousand, ten".