101221100 has 36 divisors (see below), whose sum is σ = 220173408. Its totient is φ = 40392000.

The previous prime is 101221031. The next prime is 101221103. The reversal of 101221100 is 1122101.

It is a super-2 number, since 2×101221100² = 20491422170420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53165 + ... + 55035.

It is an arithmetic number, because the mean of its divisors is an integer number (6115928).

Almost surely, 2^101221100 is an apocalyptic number.

101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221100 is an abundant number, since it is smaller than the sum of its proper divisors (118952308).

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

101221100 is a wasteful number, since it uses less digits than its factorization.

101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101221100 is about 10060.8697437150. The cubic root of 101221100 is about 466.0405264785.

Adding to 101221100 its reverse (1122101), we get a palindrome (102343201).

The spelling of 101221100 in words is "one hundred one million, two hundred twenty-one thousand, one hundred".