201102211011020 has 96 divisors (see below), whose sum is σ = 476656094638080. Its totient is φ = 70597120106240.

The previous prime is 201102211011007. The next prime is 201102211011029. The reversal of 201102211011020 is 20110112201102.

It is a super-2 number, since 2×201102211011020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201102211010986 and 201102211011004.

It is not an unprimeable number, because it can be changed into a prime (201102211011029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46460837 + ... + 50604483.

It is an arithmetic number, because the mean of its divisors is an integer number (4965167652480).

Almost surely, 2^{201102211011020} is an apocalyptic number.

201102211011020 is a gapful number since it is divisible by the number (20) 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 201102211011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238328047319040).

201102211011020 is an abundant number, since it is smaller than the sum of its proper divisors (275553883627060).

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

201102211011020 is a wasteful number, since it uses less digits than its factorization.

201102211011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151303 (or 4151301 counting only the distinct ones).

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

Adding to 201102211011020 its reverse (20110112201102), we get a palindrome (221212323212122).

The spelling of 201102211011020 in words is "two hundred one trillion, one hundred two billion, two hundred eleven million, eleven thousand, twenty".