102101120020 has 24 divisors (see below), whose sum is σ = 219641923368. Its totient is φ = 39844339200.

The previous prime is 102101120003. The next prime is 102101120057. The reversal of 102101120020 is 20021101201.

102101120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7985924496 + 94115195524 = 89364^2 + 306782^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101119979 and 102101120006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62255961 + ... + 62257600.

It is an arithmetic number, because the mean of its divisors is an integer number (9151746807).

Almost surely, 2^102101120020 is an apocalyptic number.

102101120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101120020 is an abundant number, since it is smaller than the sum of its proper divisors (117540803348).

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

102101120020 is a wasteful number, since it uses less digits than its factorization.

102101120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124513611 (or 124513609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101120020 its reverse (20021101201), we get a palindrome (122122221221).

The spelling of 102101120020 in words is "one hundred two billion, one hundred one million, one hundred twenty thousand, twenty".