101121024114 has 96 divisors (see below), whose sum is σ = 247374129600. Its totient is φ = 29571857280.

The previous prime is 101121024107. The next prime is 101121024131. The reversal of 101121024114 is 411420121101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21007572 + ... + 21012384.

It is an arithmetic number, because the mean of its divisors is an integer number (2576813850).

Almost surely, 2^101121024114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121024114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123687064800).

101121024114 is an abundant number, since it is smaller than the sum of its proper divisors (146253105486).

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

101121024114 is a wasteful number, since it uses less digits than its factorization.

101121024114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101121024114 its reverse (411420121101), we get a palindrome (512541145215).

The spelling of 101121024114 in words is "one hundred one billion, one hundred twenty-one million, twenty-four thousand, one hundred fourteen".