102111020120020 has 24 divisors (see below), whose sum is σ = 214440828924168. Its totient is φ = 40842943920000.

The previous prime is 102111020120003. The next prime is 102111020120029. The reversal of 102111020120020 is 20021020111201.

It can be written as a sum of positive squares in 4 ways, for example, as 8841511947024 + 93269508172996 = 2973468^2 + 9657614^2 .

It is a super-2 number, since 2×102111020120020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111020120029) 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, 90936031 + ... + 92052070.

It is an arithmetic number, because the mean of its divisors is an integer number (8935034538507).

Almost surely, 2^{102111020120020} is an apocalyptic number.

102111020120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111020120020 is an abundant number, since it is smaller than the sum of its proper divisors (112329808804148).

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

102111020120020 is a wasteful number, since it uses less digits than its factorization.

102111020120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183016011 (or 183016009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102111020120020 its reverse (20021020111201), we get a palindrome (122132040231221).

The spelling of 102111020120020 in words is "one hundred two trillion, one hundred eleven billion, twenty million, one hundred twenty thousand, twenty".