101020220021200 has 120 divisors (see below), whose sum is σ = 265838910142680. Its totient is φ = 36719722905600.

The previous prime is 101020220021167. The next prime is 101020220021207. The reversal of 101020220021200 is 2120022020101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6097600526224 + 94922619494976 = 2469332^2 + 9742824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020220021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255939261 + ... + 256333660.

It is an arithmetic number, because the mean of its divisors is an integer number (2215324251189).

Almost surely, 2^{101020220021200} is an apocalyptic number.

101020220021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020220021200 is an abundant number, since it is smaller than the sum of its proper divisors (164818690121480).

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

101020220021200 is a wasteful number, since it uses less digits than its factorization.

101020220021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512272985 (or 512272974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101020220021200 its reverse (2120022020101), we get a palindrome (103140242041301).

The spelling of 101020220021200 in words is "one hundred one trillion, twenty billion, two hundred twenty million, twenty-one thousand, two hundred".