102011001212120 has 192 divisors, whose sum is σ = 310507740567360. Its totient is φ = 29349818403840.

The previous prime is 102011001212111. The next prime is 102011001212123. The reversal of 102011001212120 is 21212100110201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102011001212095 and 102011001212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011001212123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115365347 + ... + 116246226.

It is an arithmetic number, because the mean of its divisors is an integer number (1617227815455).

Almost surely, 2^{102011001212120} is an apocalyptic number.

102011001212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011001212120 is an abundant number, since it is smaller than the sum of its proper divisors (208496739355240).

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

102011001212120 is a wasteful number, since it uses less digits than its factorization.

102011001212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231611626 (or 231611611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102011001212120 its reverse (21212100110201), we get a palindrome (123223101322321).

The spelling of 102011001212120 in words is "one hundred two trillion, eleven billion, one million, two hundred twelve thousand, one hundred twenty".