101011111200000 has 648 divisors, whose sum is σ = 367563557926656. Its totient is φ = 26674583040000.

The previous prime is 101011111199987. The next prime is 101011111200049. The reversal of 101011111200000 is 2111110101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 741531897 + ... + 741668103.

Almost surely, 2^{101011111200000} is an apocalyptic number.

101011111200000 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 101011111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183781778963328).

101011111200000 is an abundant number, since it is smaller than the sum of its proper divisors (266552446726656).

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

101011111200000 is an equidigital number, since it uses as much as digits as its factorization.

101011111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136357 (or 136320 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011111200000 its reverse (2111110101), we get a palindrome (101013222310101).

The spelling of 101011111200000 in words is "one hundred one trillion, eleven billion, one hundred eleven million, two hundred thousand".