101020220211020 has 96 divisors (see below), whose sum is σ = 234060299827200. Its totient is φ = 36319015756800.

The previous prime is 101020220211017. The next prime is 101020220211041. The reversal of 101020220211020 is 20112022020101.

It is a junction number, because it is equal to n+sod(n) for n = 101020220210986 and 101020220211004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516101 + ... + 14223459.

It is an arithmetic number, because the mean of its divisors is an integer number (2438128123200).

Almost surely, 2^{101020220211020} is an apocalyptic number.

101020220211020 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 101020220211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117030149913600).

101020220211020 is an abundant number, since it is smaller than the sum of its proper divisors (133040079616180).

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

101020220211020 is a wasteful number, since it uses less digits than its factorization.

101020220211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13707759 (or 13707757 counting only the distinct ones).

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

Adding to 101020220211020 its reverse (20112022020101), we get a palindrome (121132242231121).

The spelling of 101020220211020 in words is "one hundred one trillion, twenty billion, two hundred twenty million, two hundred eleven thousand, twenty".