101110221010000 has 100 divisors (see below), whose sum is σ = 245073961753632. Its totient is φ = 40398488368000.

The previous prime is 101110221009991. The next prime is 101110221010003. The reversal of 101110221010000 is 10122011101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×101110221010000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110221010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3170439 + ... + 14569561.

Almost surely, 2^{101110221010000} is an apocalyptic number.

101110221010000 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 101110221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122536980876816).

101110221010000 is an abundant number, since it is smaller than the sum of its proper divisors (143963740743632).

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

101110221010000 is an equidigital number, since it uses as much as digits as its factorization.

101110221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400038 (or 11400017 counting only the distinct ones).

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

Adding to 101110221010000 its reverse (10122011101), we get a palindrome (101120343021101).

The spelling of 101110221010000 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, ten thousand".