221020111001100 has 72 divisors (see below), whose sum is σ = 639654617484288. Its totient is φ = 58923049908800.

The previous prime is 221020111001083. The next prime is 221020111001143. The reversal of 221020111001100 is 1100111020122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96657756 + ... + 98917955.

It is an arithmetic number, because the mean of its divisors is an integer number (8884091909504).

Almost surely, 2^{221020111001100} is an apocalyptic number.

221020111001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020111001100 is an abundant number, since it is smaller than the sum of its proper divisors (418634506483188).

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

221020111001100 is a wasteful number, since it uses less digits than its factorization.

221020111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195579495 (or 195579488 counting only the distinct ones).

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

Adding to 221020111001100 its reverse (1100111020122), we get a palindrome (222120222021222).

The spelling of 221020111001100 in words is "two hundred twenty-one trillion, twenty billion, one hundred eleven million, one thousand, one hundred".