2101121211220 has 96 divisors (see below), whose sum is σ = 4680760412160. Its totient is φ = 790545000960.

The previous prime is 2101121211191. The next prime is 2101121211223. The reversal of 2101121211220 is 221121211012.

It is a junction number, because it is equal to n+sod(n) for n = 2101121211194 and 2101121211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101121211223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222595261 + ... + 222604699.

It is an arithmetic number, because the mean of its divisors is an integer number (48757920960).

Almost surely, 2^{2101121211220} is an apocalyptic number.

2101121211220 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 2101121211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340380206080).

2101121211220 is an abundant number, since it is smaller than the sum of its proper divisors (2579639200940).

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

2101121211220 is a wasteful number, since it uses less digits than its factorization.

2101121211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17465 (or 17463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2101121211220 its reverse (221121211012), we get a palindrome (2322242422232).

The spelling of 2101121211220 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".