101111000000010 has 512 divisors, whose sum is σ = 335004229582848. Its totient is φ = 18848300728320.

The previous prime is 101110999999957. The next prime is 101111000000011. The reversal of 101111000000010 is 10000000111101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (101111000000011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 985503274 + ... + 985605866.

It is an arithmetic number, because the mean of its divisors is an integer number (654305135904).

Almost surely, 2^{101111000000010} is an apocalyptic number.

101111000000010 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 101111000000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167502114791424).

101111000000010 is an abundant number, since it is smaller than the sum of its proper divisors (233893229582838).

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

101111000000010 is a wasteful number, since it uses less digits than its factorization.

101111000000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103558.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101111000000010 its reverse (10000000111101), we get a palindrome (111111000111111).

It can be divided in two parts, 101 and 111000000010, that added together give a palindrome (111000000111).

The spelling of 101111000000010 in words is "one hundred one trillion, one hundred eleven billion, ten", and thus it is an aban number.