220201101000 has 384 divisors, whose sum is σ = 752722214400. Its totient is φ = 58058726400.

The previous prime is 220201100969. The next prime is 220201101019. The reversal of 220201101000 is 101102022.

It is a super-2 number, since 2×220201101000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 538388796 + ... + 538389204.

It is an arithmetic number, because the mean of its divisors is an integer number (1960214100).

Almost surely, 2^220201101000 is an apocalyptic number.

220201101000 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 220201101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376361107200).

220201101000 is an abundant number, since it is smaller than the sum of its proper divisors (532521113400).

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

220201101000 is a wasteful number, since it uses less digits than its factorization.

220201101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220201101000 its reverse (101102022), we get a palindrome (220302203022).

It can be divided in two parts, 220201 and 101000, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 220201101000 in words is "two hundred twenty billion, two hundred one million, one hundred one thousand".