101021200102120 has 32 divisors (see below), whose sum is σ = 227299600590120. Its totient is φ = 40408142199040.

The previous prime is 101021200102079. The next prime is 101021200102129. The reversal of 101021200102120 is 21201002120101.

It can be written as a sum of positive squares in 4 ways, for example, as 73950677893764 + 27070522208356 = 8599458^2 + 5202934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101021200102120.

It is not an unprimeable number, because it can be changed into a prime (101021200102129) 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, 5685691 + ... + 15309130.

Almost surely, 2^{101021200102120} is an apocalyptic number.

101021200102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021200102120 is an abundant number, since it is smaller than the sum of its proper divisors (126278400488000).

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

101021200102120 is a wasteful number, since it uses less digits than its factorization.

101021200102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21115125 (or 21115121 counting only the distinct ones).

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

Adding to 101021200102120 its reverse (21201002120101), we get a palindrome (122222202222221).

The spelling of 101021200102120 in words is "one hundred one trillion, twenty-one billion, two hundred million, one hundred two thousand, one hundred twenty".