101020101202120 has 16 divisors (see below), whose sum is σ = 227295227704860. Its totient is φ = 40408040480832.

The previous prime is 101020101202001. The next prime is 101020101202121. The reversal of 101020101202120 is 21202101020101.

It can be written as a sum of positive squares in 2 ways, for example, as 100532587240836 + 487513961284 = 10026594^2 + 698222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101020101202120.

It is not an unprimeable number, because it can be changed into a prime (101020101202121) 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 3 ways as a sum of consecutive naturals, for example, 1262751264987 + ... + 1262751265066.

Almost surely, 2^{101020101202120} is an apocalyptic number.

101020101202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020101202120 is an abundant number, since it is smaller than the sum of its proper divisors (126275126502740).

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

101020101202120 is a wasteful number, since it uses less digits than its factorization.

101020101202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525502530064 (or 2525502530060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101020101202120 its reverse (21202101020101), we get a palindrome (122222202222221).

The spelling of 101020101202120 in words is "one hundred one trillion, twenty billion, one hundred one million, two hundred two thousand, one hundred twenty".