100020011112100 has 72 divisors (see below), whose sum is σ = 218989768757760. Its totient is φ = 39649314055680.

The previous prime is 100020011112079. The next prime is 100020011112121. The reversal of 100020011112100 is 1211110020001.

It is an interprime number because it is at equal distance from previous prime (100020011112079) and next prime (100020011112121).

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

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, 96926661 + ... + 97953139.

It is an arithmetic number, because the mean of its divisors is an integer number (3041524566080).

Almost surely, 2^{100020011112100} is an apocalyptic number.

100020011112100 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 100020011112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109494884378880).

100020011112100 is an abundant number, since it is smaller than the sum of its proper divisors (118969757645660).

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

100020011112100 is a wasteful number, since it uses less digits than its factorization.

100020011112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035229 (or 1035222 counting only the distinct ones).

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

Adding to 100020011112100 its reverse (1211110020001), we get a palindrome (101231121132101).

The spelling of 100020011112100 in words is "one hundred trillion, twenty billion, eleven million, one hundred twelve thousand, one hundred".