101120202120 has 256 divisors, whose sum is σ = 351665971200. Its totient is φ = 22784025600.

The previous prime is 101120202061. The next prime is 101120202143. The reversal of 101120202120 is 21202021101.

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 = 101120202096 and 101120202105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20274267 + ... + 20279253.

It is an arithmetic number, because the mean of its divisors is an integer number (1373695200).

Almost surely, 2^101120202120 is an apocalyptic number.

101120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175832985600).

101120202120 is an abundant number, since it is smaller than the sum of its proper divisors (250545769080).

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

101120202120 is a wasteful number, since it uses less digits than its factorization.

101120202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5344 counting only the distinct ones).

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

Adding to 101120202120 its reverse (21202021101), we get a palindrome (122322223221).

The spelling of 101120202120 in words is "one hundred one billion, one hundred twenty million, two hundred two thousand, one hundred twenty".