101111202010000 has 800 divisors, whose sum is σ = 304939895597568. Its totient is φ = 31614105600000.

The previous prime is 101111202009977. The next prime is 101111202010001. The reversal of 101111202010000 is 10202111101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101111202010001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56708469109 + ... + 56708470891.

Almost surely, 2^{101111202010000} is an apocalyptic number.

101111202010000 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 101111202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152469947798784).

101111202010000 is an abundant number, since it is smaller than the sum of its proper divisors (203828693587568).

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

101111202010000 is a wasteful number, since it uses less digits than its factorization.

101111202010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101111202010000 its reverse (10202111101), we get a palindrome (101121404121101).

The spelling of 101111202010000 in words is "one hundred one trillion, one hundred eleven billion, two hundred two million, ten thousand".