101120101021100 has 144 divisors (see below), whose sum is σ = 252900783480576. Its totient is φ = 34376692896000.

The previous prime is 101120101020989. The next prime is 101120101021103. The reversal of 101120101021100 is 1120101021101.

It is not an unprimeable number, because it can be changed into a prime (101120101021103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110777555 + ... + 111686645.

Almost surely, 2^{101120101021100} is an apocalyptic number.

101120101021100 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 101120101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126450391740288).

101120101021100 is an abundant number, since it is smaller than the sum of its proper divisors (151780682459476).

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

101120101021100 is a wasteful number, since it uses less digits than its factorization.

101120101021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910456 (or 910449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101120101021100 its reverse (1120101021101), we get a palindrome (102240202042201).

Subtracting from 101120101021100 its reverse (1120101021101), we obtain a palindrome (99999999999999).

The spelling of 101120101021100 in words is "one hundred one trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, one hundred".