102021202202220 has 288 divisors, whose sum is σ = 357114468791808. Its totient is φ = 23092420571136.

The previous prime is 102021202202207. The next prime is 102021202202233. The reversal of 102021202202220 is 22202202120201.

102021202202220 is a `hidden beast` number, since 1 + 0 + 20 + 21 + 202 + 202 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (102021202202207) and next prime (102021202202233).

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 = 102021202202193 and 102021202202202.

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, 358074339 + ... + 358359141.

It is an arithmetic number, because the mean of its divisors is an integer number (1239980794416).

Almost surely, 2^{102021202202220} is an apocalyptic number.

102021202202220 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 102021202202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178557234395904).

102021202202220 is an abundant number, since it is smaller than the sum of its proper divisors (255093266589588).

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

102021202202220 is a wasteful number, since it uses less digits than its factorization.

102021202202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287589 (or 287584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102021202202220 its reverse (22202202120201), we get a palindrome (124223404322421).

The spelling of 102021202202220 in words is "one hundred two trillion, twenty-one billion, two hundred two million, two hundred two thousand, two hundred twenty".