221011010201100 has 144 divisors (see below), whose sum is σ = 736388441623296. Its totient is φ = 50131177824000.

The previous prime is 221011010201099. The next prime is 221011010201101. The reversal of 221011010201100 is 1102010110122.

It is an interprime number because it is at equal distance from previous prime (221011010201099) and next prime (221011010201101).

It is a super-2 number, since 2×221011010201100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221011010201101) 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, 401417031 + ... + 401967230.

It is an arithmetic number, because the mean of its divisors is an integer number (5113808622384).

Almost surely, 2^{221011010201100} is an apocalyptic number.

221011010201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011010201100 is an abundant number, since it is smaller than the sum of its proper divisors (515377431422196).

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

221011010201100 is a wasteful number, since it uses less digits than its factorization.

221011010201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803384416 (or 803384409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221011010201100 its reverse (1102010110122), we get a palindrome (222113020311222).

The spelling of 221011010201100 in words is "two hundred twenty-one trillion, eleven billion, ten million, two hundred one thousand, one hundred".