102212112001120 has 96 divisors (see below), whose sum is σ = 264359332661760. Its totient is φ = 37036704714240.

The previous prime is 102212112001117. The next prime is 102212112001123. The reversal of 102212112001120 is 21100211212201.

It is an interprime number because it is at equal distance from previous prime (102212112001117) and next prime (102212112001123).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102212112001094 and 102212112001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212112001123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102108040 + ... + 103104199.

It is an arithmetic number, because the mean of its divisors is an integer number (2753743048560).

Almost surely, 2^{102212112001120} is an apocalyptic number.

102212112001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212112001120 is an abundant number, since it is smaller than the sum of its proper divisors (162147220660640).

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

102212112001120 is a wasteful number, since it uses less digits than its factorization.

102212112001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205212548 (or 205212540 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212112001120 its reverse (21100211212201), we get a palindrome (123312323213321).

The spelling of 102212112001120 in words is "one hundred two trillion, two hundred twelve billion, one hundred twelve million, one thousand, one hundred twenty".