101020012222120 has 96 divisors (see below), whose sum is σ = 237790351287720. Its totient is φ = 38621324206080.

The previous prime is 101020012222117. The next prime is 101020012222133. The reversal of 101020012222120 is 21222210020101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101012429644036 + 7582578084 = 10050494^2 + 87078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101020012222094 and 101020012222103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25604080 + ... + 29284960.

Almost surely, 2^{101020012222120} is an apocalyptic number.

101020012222120 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 101020012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118895175643860).

101020012222120 is an abundant number, since it is smaller than the sum of its proper divisors (136770339065600).

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

101020012222120 is a wasteful number, since it uses less digits than its factorization.

101020012222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682235 (or 3682208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101020012222120 its reverse (21222210020101), we get a palindrome (122242222242221).

The spelling of 101020012222120 in words is "one hundred one trillion, twenty billion, twelve million, two hundred twenty-two thousand, one hundred twenty".