101202121120120 has 32 divisors (see below), whose sum is σ = 228305576703600. Its totient is φ = 40374038815488.

The previous prime is 101202121120117. The next prime is 101202121120129. The reversal of 101202121120120 is 21021121202101.

It is a super-2 number, since 2×101202121120120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101202121120094 and 101202121120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202121120129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3337785669 + ... + 3337815988.

Almost surely, 2^{101202121120120} is an apocalyptic number.

101202121120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202121120120 is an abundant number, since it is smaller than the sum of its proper divisors (127103455583480).

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

101202121120120 is a wasteful number, since it uses less digits than its factorization.

101202121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675602047 (or 6675602043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202121120120 its reverse (21021121202101), we get a palindrome (122223242322221).

The spelling of 101202121120120 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".