101011221021200 has 120 divisors (see below), whose sum is σ = 277450961757888. Its totient is φ = 34619555888640.

The previous prime is 101011221021197. The next prime is 101011221021211. The reversal of 101011221021200 is 2120122110101.

101011221021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101011221021200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842399 + ... + 14238401.

Almost surely, 2^{101011221021200} is an apocalyptic number.

101011221021200 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 101011221021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138725480878944).

101011221021200 is an abundant number, since it is smaller than the sum of its proper divisors (176439740736688).

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

101011221021200 is a wasteful number, since it uses less digits than its factorization.

101011221021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398721 (or 13398710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011221021200 its reverse (2120122110101), we get a palindrome (103131343131301).

The spelling of 101011221021200 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, twenty-one thousand, two hundred".