221020101211986 has 128 divisors (see below), whose sum is σ = 517959733248000. Its totient is φ = 69667156963008.

The previous prime is 221020101211979. The next prime is 221020101211993. The reversal of 221020101211986 is 689112101020122.

It is an interprime number because it is at equal distance from previous prime (221020101211979) and next prime (221020101211993).

It is a super-2 number, since 2×221020101211986² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221020101211986.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887082735 + ... + 1887199853.

It is an arithmetic number, because the mean of its divisors is an integer number (4046560416000).

Almost surely, 2^{221020101211986} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020101211986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258979866624000).

221020101211986 is an abundant number, since it is smaller than the sum of its proper divisors (296939632036014).

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

221020101211986 is a wasteful number, since it uses less digits than its factorization.

221020101211986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120525 (or 120519 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 221020101211986 in words is "two hundred twenty-one trillion, twenty billion, one hundred one million, two hundred eleven thousand, nine hundred eighty-six".