102112120101 has 8 divisors (see below), whose sum is σ = 136508728480. Its totient is φ = 67895129232.

The previous prime is 102112120087. The next prime is 102112120127. The reversal of 102112120101 is 101021211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102112120101 - 2⁷ = 102112119973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112120141) 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, 44903050 + ... + 44905323.

It is an arithmetic number, because the mean of its divisors is an integer number (17063591060).

Almost surely, 2^102112120101 is an apocalyptic number.

It is an amenable number.

102112120101 is a deficient number, since it is larger than the sum of its proper divisors (34396608379).

102112120101 is an equidigital number, since it uses as much as digits as its factorization.

102112120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89808755.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112120101 its reverse (101021211201), we get a palindrome (203133331302).

It can be divided in two parts, 10211 and 2120101, that added together give a palindrome (2130312).

The spelling of 102112120101 in words is "one hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred one".