100100511011046 has 256 divisors, whose sum is σ = 262751182848000. Its totient is φ = 25237522429056.

The previous prime is 100100511011023. The next prime is 100100511011077. The reversal of 100100511011046 is 640110115001001.

It is a super-2 number, since 2×100100511011046² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53144175 + ... + 54995493.

It is an arithmetic number, because the mean of its divisors is an integer number (1026371808000).

Almost surely, 2^{100100511011046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100511011046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131375591424000).

100100511011046 is an abundant number, since it is smaller than the sum of its proper divisors (162650671836954).

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

100100511011046 is a wasteful number, since it uses less digits than its factorization.

100100511011046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851448 (or 1851434 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 100100511011046 its reverse (640110115001001), we get a palindrome (740210626012047).

The spelling of 100100511011046 in words is "one hundred trillion, one hundred billion, five hundred eleven million, eleven thousand, forty-six".