101121201100220 has 96 divisors (see below), whose sum is σ = 248458007390208. Its totient is φ = 33847050811392.

The previous prime is 101121201100211. The next prime is 101121201100243. The reversal of 101121201100220 is 22001102121101.

It is a super-2 number, since 2×101121201100220² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101121201100195 and 101121201100204.

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, 7978349 + ... + 16306331.

It is an arithmetic number, because the mean of its divisors is an integer number (2588104243648).

Almost surely, 2^{101121201100220} is an apocalyptic number.

101121201100220 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 101121201100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124229003695104).

101121201100220 is an abundant number, since it is smaller than the sum of its proper divisors (147336806289988).

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

101121201100220 is a wasteful number, since it uses less digits than its factorization.

101121201100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330059 (or 8330057 counting only the distinct ones).

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

Adding to 101121201100220 its reverse (22001102121101), we get a palindrome (123122303221321).

The spelling of 101121201100220 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred thousand, two hundred twenty".