102101012221120 has 224 divisors, whose sum is σ = 281951278672896. Its totient is φ = 34804439040000.

The previous prime is 102101012221093. The next prime is 102101012221133. The reversal of 102101012221120 is 21122210101201.

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 = 102101012221094 and 102101012221103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11620969 + ... + 18418711.

It is an arithmetic number, because the mean of its divisors is an integer number (1258711065504).

Almost surely, 2^{102101012221120} is an apocalyptic number.

102101012221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140975639336448).

102101012221120 is an abundant number, since it is smaller than the sum of its proper divisors (179850266451776).

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

102101012221120 is a wasteful number, since it uses less digits than its factorization.

102101012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798039 (or 6798029 counting only the distinct ones).

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

Adding to 102101012221120 its reverse (21122210101201), we get a palindrome (123223222322321).

The spelling of 102101012221120 in words is "one hundred two trillion, one hundred one billion, twelve million, two hundred twenty-one thousand, one hundred twenty".