101111010100000 has 288 divisors, whose sum is σ = 252209413314432. Its totient is φ = 39895564800000.

The previous prime is 101111010099989. The next prime is 101111010100073. The reversal of 101111010100000 is 1010111101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384278797 + ... + 2384321203.

It is an arithmetic number, because the mean of its divisors is an integer number (875727129564).

Almost surely, 2^{101111010100000} is an apocalyptic number.

101111010100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126104706657216).

101111010100000 is an abundant number, since it is smaller than the sum of its proper divisors (151098403214432).

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

101111010100000 is an equidigital number, since it uses as much as digits as its factorization.

101111010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42766 (or 42738 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101111010100000 its reverse (1010111101), we get a palindrome (101112020211101).

It can be divided in two parts, 1011 and 11010100000, that added together give a palindrome (11010101011).

The spelling of 101111010100000 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred thousand".