100100020201110 has 48 divisors (see below), whose sum is σ = 261567892029600. Its totient is φ = 26559201335040.

The previous prime is 100100020201087. The next prime is 100100020201133. The reversal of 100100020201110 is 11102020001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100100020201087) and next prime (100100020201133).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100020201092 and 100100020201101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2794510851 + ... + 2794546670.

It is an arithmetic number, because the mean of its divisors is an integer number (5449331083950).

Almost surely, 2^{100100020201110} is an apocalyptic number.

100100020201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100020201110 is an abundant number, since it is smaller than the sum of its proper divisors (161467871828490).

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

100100020201110 is a wasteful number, since it uses less digits than its factorization.

100100020201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589057733 (or 5589057730 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100020201110 its reverse (11102020001001), we get a palindrome (111202040202111).

The spelling of 100100020201110 in words is "one hundred trillion, one hundred billion, twenty million, two hundred one thousand, one hundred ten".