21202102211220 has 768 divisors, whose sum is σ = 79716897792000. Its totient is φ = 4570135105536.

The previous prime is 21202102211209. The next prime is 21202102211231. The reversal of 21202102211220 is 2211220120212.

It is a happy number.

21202102211220 is a `hidden beast` number, since 2 + 1 + 20 + 210 + 2 + 211 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21202102211209) and next prime (21202102211231).

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 = 21202102211193 and 21202102211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24682307151 + ... + 24682308009.

It is an arithmetic number, because the mean of its divisors is an integer number (103798044000).

Almost surely, 2^{21202102211220} is an apocalyptic number.

21202102211220 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 21202102211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39858448896000).

21202102211220 is an abundant number, since it is smaller than the sum of its proper divisors (58514795580780).

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

21202102211220 is a wasteful number, since it uses less digits than its factorization.

21202102211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2069 counting only the distinct ones).

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

Adding to 21202102211220 its reverse (2211220120212), we get a palindrome (23413322331432).

The spelling of 21202102211220 in words is "twenty-one trillion, two hundred two billion, one hundred two million, two hundred eleven thousand, two hundred twenty".