101101101220000 has 1080 divisors, whose sum is σ = 301564166726592. Its totient is φ = 33234727680000.

The previous prime is 101101101219997. The next prime is 101101101220027. The reversal of 101101101220000 is 22101101101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 558569619910 + ... + 558569620090.

Almost surely, 2^{101101101220000} is an apocalyptic number.

101101101220000 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 101101101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150782083363296).

101101101220000 is an abundant number, since it is smaller than the sum of its proper divisors (200463065506592).

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

101101101220000 is an frugal number, since it uses more digits than its factorization.

101101101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101101220000 its reverse (22101101101), we get a palindrome (101123202321101).

The spelling of 101101101220000 in words is "one hundred one trillion, one hundred one billion, one hundred one million, two hundred twenty thousand".