10211121010220 has 144 divisors (see below), whose sum is σ = 23507652766752. Its totient is φ = 3723540387840.

The previous prime is 10211121010183. The next prime is 10211121010231. The reversal of 10211121010220 is 2201012111201.

10211121010220 is digitally balanced in base 2, 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 = 10211121010195 and 10211121010204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240263224 + ... + 1240271456.

It is an arithmetic number, because the mean of its divisors is an integer number (163247588658).

Almost surely, 2^{10211121010220} is an apocalyptic number.

10211121010220 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 10211121010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11753826383376).

10211121010220 is an abundant number, since it is smaller than the sum of its proper divisors (13296531756532).

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

10211121010220 is a wasteful number, since it uses less digits than its factorization.

10211121010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12772 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211121010220 its reverse (2201012111201), we get a palindrome (12412133121421).

The spelling of 10211121010220 in words is "ten trillion, two hundred eleven billion, one hundred twenty-one million, ten thousand, two hundred twenty".