101120022001100 has 216 divisors, whose sum is σ = 243643187275488. Its totient is φ = 36352005324800.

The previous prime is 101120022001099. The next prime is 101120022001111. The reversal of 101120022001100 is 1100220021101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 394038830 + ... + 394295370.

It is an arithmetic number, because the mean of its divisors is an integer number (1127977718868).

Almost surely, 2^{101120022001100} is an apocalyptic number.

101120022001100 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 101120022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121821593637744).

101120022001100 is an abundant number, since it is smaller than the sum of its proper divisors (142523165274388).

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

101120022001100 is a wasteful number, since it uses less digits than its factorization.

101120022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257205 (or 257181 counting only the distinct ones).

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

Adding to 101120022001100 its reverse (1100220021101), we get a palindrome (102220242022201).

The spelling of 101120022001100 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, one thousand, one hundred".