101221011120 has 80 divisors (see below), whose sum is σ = 318468545280. Its totient is φ = 26589395712.

The previous prime is 101221011077. The next prime is 101221011131. The reversal of 101221011120 is 21110122101.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 101221011096 and 101221011105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131340 + ... + 3163499.

It is an arithmetic number, because the mean of its divisors is an integer number (3980856816).

Almost surely, 2^101221011120 is an apocalyptic number.

101221011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221011120 is an abundant number, since it is smaller than the sum of its proper divisors (217247534160).

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

101221011120 is a wasteful number, since it uses less digits than its factorization.

101221011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294922 (or 6294916 counting only the distinct ones).

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

Adding to 101221011120 its reverse (21110122101), we get a palindrome (122331133221).

The spelling of 101221011120 in words is "one hundred one billion, two hundred twenty-one million, eleven thousand, one hundred twenty".