100121202210020 has 24 divisors (see below), whose sum is σ = 210452691061368. Its totient is φ = 40010734899200.

The previous prime is 100121202210019. The next prime is 100121202210041. The reversal of 100121202210020 is 20012202121001.

It can be written as a sum of positive squares in 4 ways, for example, as 14843328111616 + 85277874098404 = 3852704^2 + 9234602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121202209977 and 100121202210004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2359102301 + ... + 2359144740.

It is an arithmetic number, because the mean of its divisors is an integer number (8768862127557).

Almost surely, 2^{100121202210020} is an apocalyptic number.

100121202210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121202210020 is an abundant number, since it is smaller than the sum of its proper divisors (110331488851348).

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

100121202210020 is a wasteful number, since it uses less digits than its factorization.

100121202210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718248111 (or 4718248109 counting only the distinct ones).

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

Adding to 100121202210020 its reverse (20012202121001), we get a palindrome (120133404331021).

The spelling of 100121202210020 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, two hundred ten thousand, twenty".