20101102120220 has 192 divisors, whose sum is σ = 48159909504000. Its totient is φ = 6982556006400.

The previous prime is 20101102120201. The next prime is 20101102120237. The reversal of 20101102120220 is 2202120110102.

It is a junction number, because it is equal to n+sod(n) for n = 20101102120195 and 20101102120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238509809 + ... + 238594071.

It is an arithmetic number, because the mean of its divisors is an integer number (250832862000).

Almost surely, 2^{20101102120220} is an apocalyptic number.

20101102120220 is a gapful number since it is divisible by the number (20) 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 20101102120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24079954752000).

20101102120220 is an abundant number, since it is smaller than the sum of its proper divisors (28058807383780).

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

20101102120220 is a wasteful number, since it uses less digits than its factorization.

20101102120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84876 (or 84874 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20101102120220 its reverse (2202120110102), we get a palindrome (22303222230322).

The spelling of 20101102120220 in words is "twenty trillion, one hundred one billion, one hundred two million, one hundred twenty thousand, two hundred twenty".