101120112220020 has 192 divisors, whose sum is σ = 297461953152000. Its totient is φ = 25632495099904.

The previous prime is 101120112220007. The next prime is 101120112220081. The reversal of 101120112220020 is 20022211021101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34681141 + ... + 37483619.

It is an arithmetic number, because the mean of its divisors is an integer number (1549281006000).

Almost surely, 2^{101120112220020} is an apocalyptic number.

101120112220020 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 101120112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148730976576000).

101120112220020 is an abundant number, since it is smaller than the sum of its proper divisors (196341840931980).

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

101120112220020 is a wasteful number, since it uses less digits than its factorization.

101120112220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802842 (or 2802840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101120112220020 its reverse (20022211021101), we get a palindrome (121142323241121).

The spelling of 101120112220020 in words is "one hundred one trillion, one hundred twenty billion, one hundred twelve million, two hundred twenty thousand, twenty".