10201111020100 has 288 divisors, whose sum is σ = 29733368942592. Its totient is φ = 2933824320000.

The previous prime is 10201111020077. The next prime is 10201111020103. The reversal of 10201111020100 is 102011110201.

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

It is not an unprimeable number, because it can be changed into a prime (10201111020103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271352305 + ... + 271389895.

It is an arithmetic number, because the mean of its divisors is an integer number (103240864384).

Almost surely, 2^{10201111020100} is an apocalyptic number.

10201111020100 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 10201111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14866684471296).

10201111020100 is an abundant number, since it is smaller than the sum of its proper divisors (19532257922492).

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

10201111020100 is a wasteful number, since it uses less digits than its factorization.

10201111020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40347 (or 40340 counting only the distinct ones).

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

Adding to 10201111020100 its reverse (102011110201), we get a palindrome (10303122130301).

10201111020100 divided by its reverse (102011110201) gives a square (100 = 10²).

It can be divided in two parts, 102011 and 11020100, that added together give a palindrome (11122111).

The spelling of 10201111020100 in words is "ten trillion, two hundred one billion, one hundred eleven million, twenty thousand, one hundred".