101100212202020 has 24 divisors (see below), whose sum is σ = 214412529248568. Its totient is φ = 40039688000000.

The previous prime is 101100212202007. The next prime is 101100212202023. The reversal of 101100212202020 is 20202212001101.

It can be written as a sum of positive squares in 4 ways, for example, as 60228433447204 + 40871778754816 = 7760698^2 + 6393104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100212201986 and 101100212202004.

It is not an unprimeable number, because it can be changed into a prime (101100212202023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25024802981 + ... + 25024807020.

It is an arithmetic number, because the mean of its divisors is an integer number (8933855385357).

Almost surely, 2^{101100212202020} is an apocalyptic number.

101100212202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100212202020 is an abundant number, since it is smaller than the sum of its proper divisors (113312317046548).

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

101100212202020 is a wasteful number, since it uses less digits than its factorization.

101100212202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50049610111 (or 50049610109 counting only the distinct ones).

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

Adding to 101100212202020 its reverse (20202212001101), we get a palindrome (121302424203121).

The spelling of 101100212202020 in words is "one hundred one trillion, one hundred billion, two hundred twelve million, two hundred two thousand, twenty".