1020110012100 has 576 divisors, whose sum is σ = 3535773696000. Its totient is φ = 251397457920.

The previous prime is 1020110012087. The next prime is 1020110012101. The reversal of 1020110012100 is 12100110201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1020110012101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600417051 + ... + 600418749.

It is an arithmetic number, because the mean of its divisors is an integer number (6138496000).

Almost surely, 2^{1020110012100} is an apocalyptic number.

1020110012100 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 1020110012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767886848000).

1020110012100 is an abundant number, since it is smaller than the sum of its proper divisors (2515663683900).

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

1020110012100 is a wasteful number, since it uses less digits than its factorization.

1020110012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1956 counting only the distinct ones).

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

Adding to 1020110012100 its reverse (12100110201), we get a palindrome (1032210122301).

The spelling of 1020110012100 in words is "one trillion, twenty billion, one hundred ten million, twelve thousand, one hundred".