20114022101220 has 288 divisors, whose sum is σ = 66951184075776. Its totient is φ = 4865909760000.

The previous prime is 20114022101171. The next prime is 20114022101293. The reversal of 20114022101220 is 2210122041102.

20114022101220 is a `hidden beast` number, since 20 + 1 + 1 + 402 + 21 + 0 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20114022101193 and 20114022101202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23387472 + ... + 24232248.

It is an arithmetic number, because the mean of its divisors is an integer number (232469389152).

Almost surely, 2^{20114022101220} is an apocalyptic number.

20114022101220 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 20114022101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33475592037888).

20114022101220 is an abundant number, since it is smaller than the sum of its proper divisors (46837161974556).

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

20114022101220 is a wasteful number, since it uses less digits than its factorization.

20114022101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845091 (or 845086 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20114022101220 its reverse (2210122041102), we get a palindrome (22324144142322).

The spelling of 20114022101220 in words is "twenty trillion, one hundred fourteen billion, twenty-two million, one hundred one thousand, two hundred twenty".