100122101202020 has 12 divisors (see below), whose sum is σ = 210256412524284. Its totient is φ = 40048840480800.

The previous prime is 100122101202017. The next prime is 100122101202023. The reversal of 100122101202020 is 20202101221001.

It is an interprime number because it is at equal distance from previous prime (100122101202017) and next prime (100122101202023).

It can be written as a sum of positive squares in 2 ways, for example, as 47735165356096 + 52386935845924 = 6909064^2 + 7237882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100122101201986 and 100122101202004.

It is not an unprimeable number, because it can be changed into a prime (100122101202023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2503052530031 + ... + 2503052530070.

It is an arithmetic number, because the mean of its divisors is an integer number (17521367710357).

Almost surely, 2^{100122101202020} is an apocalyptic number.

100122101202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122101202020 is an abundant number, since it is smaller than the sum of its proper divisors (110134311322264).

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

100122101202020 is a wasteful number, since it uses less digits than its factorization.

100122101202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006105060110 (or 5006105060108 counting only the distinct ones).

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

Adding to 100122101202020 its reverse (20202101221001), we get a palindrome (120324202423021).

The spelling of 100122101202020 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred two thousand, twenty".