101002211121220 has 96 divisors (see below), whose sum is σ = 222050715973632. Its totient is φ = 38543447040000.

The previous prime is 101002211121211. The next prime is 101002211121223. The reversal of 101002211121220 is 22121112200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002211121194 and 101002211121203.

It is not an unprimeable number, because it can be changed into a prime (101002211121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511457700 + ... + 511655140.

It is an arithmetic number, because the mean of its divisors is an integer number (2313028291392).

Almost surely, 2^{101002211121220} is an apocalyptic number.

101002211121220 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 101002211121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111025357986816).

101002211121220 is an abundant number, since it is smaller than the sum of its proper divisors (121048504852412).

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

101002211121220 is a wasteful number, since it uses less digits than its factorization.

101002211121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209173 (or 209171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101002211121220 its reverse (22121112200101), we get a palindrome (123123323321321).

The spelling of 101002211121220 in words is "one hundred one trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty".