101011111010012 has 96 divisors (see below), whose sum is σ = 207839650411008. Its totient is φ = 42054930618624.

The previous prime is 101011111010011. The next prime is 101011111010023. The reversal of 101011111010012 is 210010111110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101011111009975 and 101011111010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011111010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720269843 + ... + 720410069.

It is an arithmetic number, because the mean of its divisors is an integer number (2164996358448).

Almost surely, 2^{101011111010012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011111010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103919825205504).

101011111010012 is an abundant number, since it is smaller than the sum of its proper divisors (106828539400996).

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

101011111010012 is a wasteful number, since it uses less digits than its factorization.

101011111010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143515 (or 143513 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011111010012 its reverse (210010111110101), we get a palindrome (311021222120113).

The spelling of 101011111010012 in words is "one hundred one trillion, eleven billion, one hundred eleven million, ten thousand, twelve".