101241211120104 has 512 divisors, whose sum is σ = 294464902348800. Its totient is φ = 28730061434880.

The previous prime is 101241211120033. The next prime is 101241211120111. The reversal of 101241211120104 is 401021112142101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6421074829 + ... + 6421090595.

It is an arithmetic number, because the mean of its divisors is an integer number (575126762400).

Almost surely, 2^{101241211120104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101241211120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147232451174400).

101241211120104 is an abundant number, since it is smaller than the sum of its proper divisors (193223691228696).

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

101241211120104 is a wasteful number, since it uses less digits than its factorization.

101241211120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16113 (or 16109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101241211120104 its reverse (401021112142101), we get a palindrome (502262323262205).

The spelling of 101241211120104 in words is "one hundred one trillion, two hundred forty-one billion, two hundred eleven million, one hundred twenty thousand, one hundred four".