10121727422040 has 128 divisors (see below), whose sum is σ = 32721450068160. Its totient is φ = 2489941407744.

The previous prime is 10121727421997. The next prime is 10121727422047. The reversal of 10121727422040 is 4022472712101.

It is a junction number, because it is equal to n+sod(n) for n = 10121727421992 and 10121727422010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121727422047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459922 + ... + 4522718.

Almost surely, 2^{10121727422040} is an apocalyptic number.

10121727422040 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 10121727422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360725034080).

10121727422040 is an abundant number, since it is smaller than the sum of its proper divisors (22599722646120).

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

10121727422040 is a wasteful number, since it uses less digits than its factorization.

10121727422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064421 (or 4064417 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 10121727422040 in words is "ten trillion, one hundred twenty-one billion, seven hundred twenty-seven million, four hundred twenty-two thousand, forty".