101020011221220 has 384 divisors, whose sum is σ = 357782323261440. Its totient is φ = 20727513999360.

The previous prime is 101020011221197. The next prime is 101020011221231. The reversal of 101020011221220 is 22122110020101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101020011221220.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52825155 + ... + 54704085.

It is an arithmetic number, because the mean of its divisors is an integer number (931724800160).

Almost surely, 2^{101020011221220} is an apocalyptic number.

101020011221220 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 101020011221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178891161630720).

101020011221220 is an abundant number, since it is smaller than the sum of its proper divisors (256762312040220).

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

101020011221220 is a wasteful number, since it uses less digits than its factorization.

101020011221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879235 (or 1879233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101020011221220 its reverse (22122110020101), we get a palindrome (123142121241321).

The spelling of 101020011221220 in words is "one hundred one trillion, twenty billion, eleven million, two hundred twenty-one thousand, two hundred twenty".