101111110001010 has 192 divisors, whose sum is σ = 281576734193664. Its totient is φ = 25126234214400.

The previous prime is 101111110000991. The next prime is 101111110001021. The reversal of 101111110001010 is 10100011111101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101111110000983 and 101111110001001.

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, 4964475 + ... + 15062145.

It is an arithmetic number, because the mean of its divisors is an integer number (1466545490592).

Almost surely, 2^{101111110001010} is an apocalyptic number.

101111110001010 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 101111110001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140788367096832).

101111110001010 is an abundant number, since it is smaller than the sum of its proper divisors (180465624192654).

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

101111110001010 is a wasteful number, since it uses less digits than its factorization.

101111110001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097849 (or 10097846 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111110001010 its reverse (10100011111101), we get a palindrome (111211121112111).

The spelling of 101111110001010 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one thousand, ten".