100111001121020 has 48 divisors (see below), whose sum is σ = 211909499561088. Its totient is φ = 39725478274560.

The previous prime is 100111001121017. The next prime is 100111001121031. The reversal of 100111001121020 is 20121100111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111001120992 and 100111001121010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8145236 + ... + 16326875.

It is an arithmetic number, because the mean of its divisors is an integer number (4414781240856).

Almost surely, 2^{100111001121020} is an apocalyptic number.

100111001121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111001121020 is an abundant number, since it is smaller than the sum of its proper divisors (111798498440068).

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

100111001121020 is a wasteful number, since it uses less digits than its factorization.

100111001121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24473750 (or 24473748 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111001121020 its reverse (20121100111001), we get a palindrome (120232101232021).

The spelling of 100111001121020 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred twenty-one thousand, twenty".