101100021220 has 96 divisors (see below), whose sum is σ = 235118169216. Its totient is φ = 36210585600.

The previous prime is 101100021163. The next prime is 101100021223. The reversal of 101100021220 is 22120001101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101100021197 and 101100021206.

It is not an unprimeable number, because it can be changed into a prime (101100021223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4491514 + ... + 4513966.

It is an arithmetic number, because the mean of its divisors is an integer number (2449147596).

Almost surely, 2^101100021220 is an apocalyptic number.

101100021220 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 101100021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117559084608).

101100021220 is an abundant number, since it is smaller than the sum of its proper divisors (134018147996).

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

101100021220 is a wasteful number, since it uses less digits than its factorization.

101100021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22781 (or 22779 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101100021220 its reverse (22120001101), we get a palindrome (123220022321).

The spelling of 101100021220 in words is "one hundred one billion, one hundred million, twenty-one thousand, two hundred twenty".