101012022001220 has 192 divisors, whose sum is σ = 240493204224000. Its totient is φ = 35306316288000.

The previous prime is 101012022001211. The next prime is 101012022001273. The reversal of 101012022001220 is 22100220210101.

101012022001220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101012022001195 and 101012022001204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998595206 + ... + 998696354.

It is an arithmetic number, because the mean of its divisors is an integer number (1252568772000).

Almost surely, 2^{101012022001220} is an apocalyptic number.

101012022001220 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 101012022001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120246602112000).

101012022001220 is an abundant number, since it is smaller than the sum of its proper divisors (139481182222780).

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

101012022001220 is a wasteful number, since it uses less digits than its factorization.

101012022001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102190 (or 102188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101012022001220 its reverse (22100220210101), we get a palindrome (123112242211321).

The spelling of 101012022001220 in words is "one hundred one trillion, twelve billion, twenty-two million, one thousand, two hundred twenty".