102000201001120 has 96 divisors (see below), whose sum is σ = 241372857398400. Its totient is φ = 40732810675200.

The previous prime is 102000201001091. The next prime is 102000201001123. The reversal of 102000201001120 is 21100102000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102000201001097 and 102000201001106.

It is not an unprimeable number, because it can be changed into a prime (102000201001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265486581 + ... + 1265567179.

It is an arithmetic number, because the mean of its divisors is an integer number (2514300597900).

Almost surely, 2^{102000201001120} is an apocalyptic number.

102000201001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000201001120 is an abundant number, since it is smaller than the sum of its proper divisors (139372656397280).

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

102000201001120 is a wasteful number, since it uses less digits than its factorization.

102000201001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93558 (or 93550 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102000201001120 its reverse (21100102000201), we get a palindrome (123100303001321).

The spelling of 102000201001120 in words is "one hundred two trillion, two hundred one million, one thousand, one hundred twenty".