10101022099938 has 288 divisors, whose sum is σ = 29244382352640. Its totient is φ = 2484746953920.

The previous prime is 10101022099937. The next prime is 10101022099967. The reversal of 10101022099938 is 83999022010101.

It is a junction number, because it is equal to n+sod(n) for n = 10101022099893 and 10101022099902.

It is not an unprimeable number, because it can be changed into a prime (10101022099933) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 727575145 + ... + 727589027.

It is an arithmetic number, because the mean of its divisors is an integer number (101542994280).

Almost surely, 2^{10101022099938} is an apocalyptic number.

10101022099938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101022099938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622191176320).

10101022099938 is an abundant number, since it is smaller than the sum of its proper divisors (19143360252702).

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

10101022099938 is a wasteful number, since it uses less digits than its factorization.

10101022099938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 10101022099938 in words is "ten trillion, one hundred one billion, twenty-two million, ninety-nine thousand, nine hundred thirty-eight".