101001020111220 has 96 divisors (see below), whose sum is σ = 288177037303680. Its totient is φ = 26421913623040.

The previous prime is 101001020111207. The next prime is 101001020111267. The reversal of 101001020111220 is 22111020100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101001020111196 and 101001020111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21874471 + ... + 26086289.

It is an arithmetic number, because the mean of its divisors is an integer number (3001844138580).

Almost surely, 2^{101001020111220} is an apocalyptic number.

101001020111220 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 101001020111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144088518651840).

101001020111220 is an abundant number, since it is smaller than the sum of its proper divisors (187176017192460).

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

101001020111220 is a wasteful number, since it uses less digits than its factorization.

101001020111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219425 (or 4219423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001020111220 its reverse (22111020100101), we get a palindrome (123112040211321).

The spelling of 101001020111220 in words is "one hundred one trillion, one billion, twenty million, one hundred eleven thousand, two hundred twenty".