1011102122000 has 160 divisors (see below), whose sum is σ = 2506214636640. Its totient is φ = 394413465600.

The previous prime is 1011102121963. The next prime is 1011102122161. The reversal of 1011102122000 is 2212011101.

It can be written as a sum of positive squares in 16 ways, for example, as 540571975696 + 470530146304 = 735236^2 + 685952^2 .

It is a super-2 number, since 2×1011102122000² (a number of 25 digits) contains 22 as substring.

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, 12955094 + ... + 13032906.

It is an arithmetic number, because the mean of its divisors is an integer number (15663841479).

Almost surely, 2^{1011102122000} is an apocalyptic number.

1011102122000 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 1011102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253107318320).

1011102122000 is an abundant number, since it is smaller than the sum of its proper divisors (1495112514640).

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

1011102122000 is an equidigital number, since it uses as much as digits as its factorization.

1011102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77998 (or 77982 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011102122000 its reverse (2212011101), we get a palindrome (1013314133101).

The spelling of 1011102122000 in words is "one trillion, eleven billion, one hundred two million, one hundred twenty-two thousand".