101111101000000 has 784 divisors, whose sum is σ = 310034781504000. Its totient is φ = 31859251200000.

The previous prime is 101111100999977. The next prime is 101111101000033. The reversal of 101111101000000 is 101111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21748997676 + ... + 21749002324.

Almost surely, 2^{101111101000000} is an apocalyptic number.

101111101000000 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 101111101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155017390752000).

101111101000000 is an abundant number, since it is smaller than the sum of its proper divisors (208923680504000).

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

101111101000000 is an frugal number, since it uses more digits than its factorization.

101111101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4915 counting only the distinct ones).

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

Adding to 101111101000000 its reverse (101111101), we get a palindrome (101111202111101).

101111101000000 divided by its reverse (101111101) gives a 6-th power (1000000 = 10⁶).

The spelling of 101111101000000 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million", and thus it is an aban number.