101011011130302 has 1024 divisors, whose sum is σ = 285699546316800. Its totient is φ = 23066696540160.

The previous prime is 101011011130199. The next prime is 101011011130357. The reversal of 101011011130302 is 203031110110101.

It is a super-2 number, since 2×101011011130302² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 77284629133 + ... + 77284630439.

It is an arithmetic number, because the mean of its divisors is an integer number (279003463200).

Almost surely, 2^{101011011130302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011011130302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142849773158400).

101011011130302 is an abundant number, since it is smaller than the sum of its proper divisors (184688535186498).

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

101011011130302 is a wasteful number, since it uses less digits than its factorization.

101011011130302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101011011130302 its reverse (203031110110101), we get a palindrome (304042121240403).

The spelling of 101011011130302 in words is "one hundred one trillion, eleven billion, eleven million, one hundred thirty thousand, three hundred two".