101021100011120 has 160 divisors (see below), whose sum is σ = 243968765356800. Its totient is φ = 38855241105408.

The previous prime is 101021100011107. The next prime is 101021100011231. The reversal of 101021100011120 is 21110001120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3481430852 + ... + 3481459868.

It is an arithmetic number, because the mean of its divisors is an integer number (1524804783480).

Almost surely, 2^{101021100011120} is an apocalyptic number.

101021100011120 is a gapful number since it is divisible by the number (10) 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 101021100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121984382678400).

101021100011120 is an abundant number, since it is smaller than the sum of its proper divisors (142947665345680).

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

101021100011120 is a wasteful number, since it uses less digits than its factorization.

101021100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35155 (or 35149 counting only the distinct ones).

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

Adding to 101021100011120 its reverse (21110001120101), we get a palindrome (122131101131221).

The spelling of 101021100011120 in words is "one hundred one trillion, twenty-one billion, one hundred million, eleven thousand, one hundred twenty".