1010411112100 has 72 divisors (see below), whose sum is σ = 2361477683880. Its totient is φ = 373039380480.

The previous prime is 1010411112079. The next prime is 1010411112101. The reversal of 1010411112100 is 12111140101.

It can be written as a sum of positive squares in 12 ways, for example, as 860660687524 + 149750424576 = 927718^2 + 386976^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1010411112101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16465074 + ... + 16526326.

It is an arithmetic number, because the mean of its divisors is an integer number (32798301165).

Almost surely, 2^{1010411112100} is an apocalyptic number.

1010411112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010411112100 is an abundant number, since it is smaller than the sum of its proper divisors (1351066571780).

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

1010411112100 is a wasteful number, since it uses less digits than its factorization.

1010411112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73969 (or 73962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1010411112100 its reverse (12111140101), we get a palindrome (1022522252201).

The spelling of 1010411112100 in words is "one trillion, ten billion, four hundred eleven million, one hundred twelve thousand, one hundred".