1020212200221 has 48 divisors (see below), whose sum is σ = 1450022200320. Its totient is φ = 636266685600.

The previous prime is 1020212200207. The next prime is 1020212200291. The reversal of 1020212200221 is 1220022120201.

1020212200221 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020212200221 - 2¹⁹ = 1020211675933 is a prime.

It is a super-4 number, since 4×1020212200221⁴ (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020212200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212200291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206392876 + ... + 206397818.

It is an arithmetic number, because the mean of its divisors is an integer number (30208795840).

Almost surely, 2^{1020212200221} is an apocalyptic number.

It is an amenable number.

1020212200221 is a deficient number, since it is larger than the sum of its proper divisors (429810000099).

1020212200221 is a wasteful number, since it uses less digits than its factorization.

1020212200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020212200221 its reverse (1220022120201), we get a palindrome (2240234320422).

The spelling of 1020212200221 in words is "one trillion, twenty billion, two hundred twelve million, two hundred thousand, two hundred twenty-one".