101001022100220 has 384 divisors, whose sum is σ = 328489292823552. Its totient is φ = 22962233548800.

The previous prime is 101001022100207. The next prime is 101001022100233. The reversal of 101001022100220 is 22001220100101.

It is an interprime number because it is at equal distance from previous prime (101001022100207) and next prime (101001022100233).

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 = 101001022100196 and 101001022100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82493562 + ... + 83708958.

It is an arithmetic number, because the mean of its divisors is an integer number (855440866728).

Almost surely, 2^{101001022100220} is an apocalyptic number.

101001022100220 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 101001022100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164244646411776).

101001022100220 is an abundant number, since it is smaller than the sum of its proper divisors (227488270723332).

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

101001022100220 is a wasteful number, since it uses less digits than its factorization.

101001022100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215581 (or 1215579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101001022100220 its reverse (22001220100101), we get a palindrome (123002242200321).

The spelling of 101001022100220 in words is "one hundred one trillion, one billion, twenty-two million, one hundred thousand, two hundred twenty".