102120001101020 has 96 divisors (see below), whose sum is σ = 247797946690560. Its totient is φ = 34627479897600.

The previous prime is 102120001101017. The next prime is 102120001101023. The reversal of 102120001101020 is 20101100021201.

It is an interprime number because it is at equal distance from previous prime (102120001101017) and next prime (102120001101023).

It is a junction number, because it is equal to n+sod(n) for n = 102120001100992 and 102120001101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120001101023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5841425 + ... + 15438984.

It is an arithmetic number, because the mean of its divisors is an integer number (2581228611360).

Almost surely, 2^{102120001101020} is an apocalyptic number.

102120001101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120001101020 is an abundant number, since it is smaller than the sum of its proper divisors (145677945589540).

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

102120001101020 is a wasteful number, since it uses less digits than its factorization.

102120001101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21280803 (or 21280801 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102120001101020 its reverse (20101100021201), we get a palindrome (122221101122221).

The spelling of 102120001101020 in words is "one hundred two trillion, one hundred twenty billion, one million, one hundred one thousand, twenty".