10101220110000 has 600 divisors, whose sum is σ = 36503298905216. Its totient is φ = 2604026880000.

The previous prime is 10101220109999. The next prime is 10101220110017. The reversal of 10101220110000 is 1102210101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5225669034 + ... + 5225670966.

Almost surely, 2^{10101220110000} is an apocalyptic number.

10101220110000 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 10101220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251649452608).

10101220110000 is an abundant number, since it is smaller than the sum of its proper divisors (26402078795216).

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

10101220110000 is a wasteful number, since it uses less digits than its factorization.

10101220110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101220110000 its reverse (1102210101), we get a palindrome (10102322320101).

The spelling of 10101220110000 in words is "ten trillion, one hundred one billion, two hundred twenty million, one hundred ten thousand".