101121220 has 24 divisors (see below), whose sum is σ = 212865408. Its totient is φ = 40351200.

The previous prime is 101121203. The next prime is 101121247. The reversal of 101121220 is 22121101.

It is a super-2 number, since 2×101121220² = 20451002268576800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101121197 and 101121206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755 + ... + 14485.

It is an arithmetic number, because the mean of its divisors is an integer number (8869392).

Almost surely, 2^101121220 is an apocalyptic number.

101121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121220 is an abundant number, since it is smaller than the sum of its proper divisors (111744188).

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

101121220 is a wasteful number, since it uses less digits than its factorization.

101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101121220 is about 10055.9047330412. The cubic root of 101121220 is about 465.8871874129.

Adding to 101121220 its reverse (22121101), we get a palindrome (123242321).

The spelling of 101121220 in words is "one hundred one million, one hundred twenty-one thousand, two hundred twenty".