101102121220000 has 120 divisors (see below), whose sum is σ = 248735070948672. Its totient is φ = 40439436000000.

The previous prime is 101102121219997. The next prime is 101102121220013. The reversal of 101102121220000 is 22121201101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 718949695 + ... + 719090305.

Almost surely, 2^{101102121220000} is an apocalyptic number.

101102121220000 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 101102121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124367535474336).

101102121220000 is an abundant number, since it is smaller than the sum of its proper divisors (147632949728672).

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

101102121220000 is an equidigital number, since it uses as much as digits as its factorization.

101102121220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176592 (or 176569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102121220000 its reverse (22121201101), we get a palindrome (101124242421101).

The spelling of 101102121220000 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty thousand".