101202021120 has 144 divisors (see below), whose sum is σ = 331949933280. Its totient is φ = 26257784832.

The previous prime is 101202020981. The next prime is 101202021121. The reversal of 101202021120 is 21120202101.

It is a super-3 number, since 3×101202021120³ (a number of 34 digits) contains 333 as substring.

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 = 101202021096 and 101202021105.

It is not an unprimeable number, because it can be changed into a prime (101202021121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214065 + ... + 498224.

It is an arithmetic number, because the mean of its divisors is an integer number (2305207870).

Almost surely, 2^101202021120 is an apocalyptic number.

101202021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202021120 is an abundant number, since it is smaller than the sum of its proper divisors (230747912160).

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

101202021120 is an equidigital number, since it uses as much as digits as its factorization.

101202021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712350 (or 712336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101202021120 its reverse (21120202101), we get a palindrome (122322223221).

The spelling of 101202021120 in words is "one hundred one billion, two hundred two million, twenty-one thousand, one hundred twenty".